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Finding the Fourth Proportional to 9,781.20, 14,660.73 and 4,854.24

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Solution

The fourth proportional to 9,781.20, 14,660.73 and 4,854.24 is: 7,275.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.20 : 14,660.73 = 4,854.24 : x
  2. Step 2: Convert to fraction form
    9,781.20/14,660.73 = 4,854.24/x
  3. Step 3: Cross multiply
    9,781.20x = 14,660.73 × 4,854.24
  4. Step 4: Simplify right side
    9,781.20x = 71,166,702.00
  5. Step 5: Solve for x
    x = 71,166,702.00/9,781.20
  6. Step 6: Final answer
    x = 7,275.87

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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.