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Finding the Fourth Proportional to 9,772.92, 14,655.42 and 3,107.14

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Solution

The fourth proportional to 9,772.92, 14,655.42 and 3,107.14 is: 4,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.92 : 14,655.42 = 3,107.14 : x
  2. Step 2: Convert to fraction form
    9,772.92/14,655.42 = 3,107.14/x
  3. Step 3: Cross multiply
    9,772.92x = 14,655.42 × 3,107.14
  4. Step 4: Simplify right side
    9,772.92x = 45,536,441.70
  5. Step 5: Solve for x
    x = 45,536,441.70/9,772.92
  6. Step 6: Final answer
    x = 4,659.45

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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.