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Finding the Fourth Proportional to 9,729.62, 14,612.86 and 6,057.48

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Solution

The fourth proportional to 9,729.62, 14,612.86 and 6,057.48 is: 9,097.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.62 : 14,612.86 = 6,057.48 : x
  2. Step 2: Convert to fraction form
    9,729.62/14,612.86 = 6,057.48/x
  3. Step 3: Cross multiply
    9,729.62x = 14,612.86 × 6,057.48
  4. Step 4: Simplify right side
    9,729.62x = 88,517,135.49
  5. Step 5: Solve for x
    x = 88,517,135.49/9,729.62
  6. Step 6: Final answer
    x = 9,097.70

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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.