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Finding the Fourth Proportional to 9,879,809.40, 14,819,714.10 and 6,686,465.40

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Solution

The fourth proportional to 9,879,809.40, 14,819,714.10 and 6,686,465.40 is: 10,029,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879,809.40 : 14,819,714.10 = 6,686,465.40 : x
  2. Step 2: Convert to fraction form
    9,879,809.40/14,819,714.10 = 6,686,465.40/x
  3. Step 3: Cross multiply
    9,879,809.40x = 14,819,714.10 × 6,686,465.40
  4. Step 4: Simplify right side
    9,879,809.40x = 99,091,505,567,542.14
  5. Step 5: Solve for x
    x = 99,091,505,567,542.14/9,879,809.40
  6. Step 6: Final answer
    x = 10,029,698.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.