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Finding the Fourth Proportional to 9,540.71, 13,168.07 and 5,562.46

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Solution

The fourth proportional to 9,540.71, 13,168.07 and 5,562.46 is: 7,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.71 : 13,168.07 = 5,562.46 : x
  2. Step 2: Convert to fraction form
    9,540.71/13,168.07 = 5,562.46/x
  3. Step 3: Cross multiply
    9,540.71x = 13,168.07 × 5,562.46
  4. Step 4: Simplify right side
    9,540.71x = 73,246,862.65
  5. Step 5: Solve for x
    x = 73,246,862.65/9,540.71
  6. Step 6: Final answer
    x = 7,677.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.