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Finding the Fourth Proportional to 9,299.68, 13,951.02 and 3,057.88

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Solution

The fourth proportional to 9,299.68, 13,951.02 and 3,057.88 is: 4,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.68 : 13,951.02 = 3,057.88 : x
  2. Step 2: Convert to fraction form
    9,299.68/13,951.02 = 3,057.88/x
  3. Step 3: Cross multiply
    9,299.68x = 13,951.02 × 3,057.88
  4. Step 4: Simplify right side
    9,299.68x = 42,660,545.04
  5. Step 5: Solve for x
    x = 42,660,545.04/9,299.68
  6. Step 6: Final answer
    x = 4,587.31

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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.