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Finding the Fourth Proportional to 9,560.74, 14,332.92 and 3,634.30

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Solution

The fourth proportional to 9,560.74, 14,332.92 and 3,634.30 is: 5,448.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.74 : 14,332.92 = 3,634.30 : x
  2. Step 2: Convert to fraction form
    9,560.74/14,332.92 = 3,634.30/x
  3. Step 3: Cross multiply
    9,560.74x = 14,332.92 × 3,634.30
  4. Step 4: Simplify right side
    9,560.74x = 52,090,131.16
  5. Step 5: Solve for x
    x = 52,090,131.16/9,560.74
  6. Step 6: Final answer
    x = 5,448.34

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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.