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Finding the Fourth Proportional to 6,566.88, 9,061.88 and 3,734.12

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Solution

The fourth proportional to 6,566.88, 9,061.88 and 3,734.12 is: 5,152.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.88 : 9,061.88 = 3,734.12 : x
  2. Step 2: Convert to fraction form
    6,566.88/9,061.88 = 3,734.12/x
  3. Step 3: Cross multiply
    6,566.88x = 9,061.88 × 3,734.12
  4. Step 4: Simplify right side
    6,566.88x = 33,838,147.35
  5. Step 5: Solve for x
    x = 33,838,147.35/6,566.88
  6. Step 6: Final answer
    x = 5,152.85

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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.