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Finding the Fourth Proportional to 6,567.17, 9,061.13 and 3,734.60

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Solution

The fourth proportional to 6,567.17, 9,061.13 and 3,734.60 is: 5,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.17 : 9,061.13 = 3,734.60 : x
  2. Step 2: Convert to fraction form
    6,567.17/9,061.13 = 3,734.60/x
  3. Step 3: Cross multiply
    6,567.17x = 9,061.13 × 3,734.60
  4. Step 4: Simplify right side
    6,567.17x = 33,839,660.13
  5. Step 5: Solve for x
    x = 33,839,660.13/6,567.17
  6. Step 6: Final answer
    x = 5,152.86

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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.