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Finding the Fourth Proportional to 6,402.62, 9,605.28 and 2,707.13

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Solution

The fourth proportional to 6,402.62, 9,605.28 and 2,707.13 is: 4,061.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.62 : 9,605.28 = 2,707.13 : x
  2. Step 2: Convert to fraction form
    6,402.62/9,605.28 = 2,707.13/x
  3. Step 3: Cross multiply
    6,402.62x = 9,605.28 × 2,707.13
  4. Step 4: Simplify right side
    6,402.62x = 26,002,741.65
  5. Step 5: Solve for x
    x = 26,002,741.65/6,402.62
  6. Step 6: Final answer
    x = 4,061.27

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