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Finding the Fourth Proportional to 9,758.58, 14,636.65 and 2,739.14

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Solution

The fourth proportional to 9,758.58, 14,636.65 and 2,739.14 is: 4,108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.58 : 14,636.65 = 2,739.14 : x
  2. Step 2: Convert to fraction form
    9,758.58/14,636.65 = 2,739.14/x
  3. Step 3: Cross multiply
    9,758.58x = 14,636.65 × 2,739.14
  4. Step 4: Simplify right side
    9,758.58x = 40,091,854.64
  5. Step 5: Solve for x
    x = 40,091,854.64/9,758.58
  6. Step 6: Final answer
    x = 4,108.37

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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.