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Finding the Fourth Proportional to 9,384,575.40, 13,106,519.10 and 9,384,575.40

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Solution

The fourth proportional to 9,384,575.40, 13,106,519.10 and 9,384,575.40 is: 13,106,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384,575.40 : 13,106,519.10 = 9,384,575.40 : x
  2. Step 2: Convert to fraction form
    9,384,575.40/13,106,519.10 = 9,384,575.40/x
  3. Step 3: Cross multiply
    9,384,575.40x = 13,106,519.10 × 9,384,575.40
  4. Step 4: Simplify right side
    9,384,575.40x = 122,999,116,725,490.14
  5. Step 5: Solve for x
    x = 122,999,116,725,490.14/9,384,575.40
  6. Step 6: Final answer
    x = 13,106,519.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.