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Finding the Fourth Proportional to 9,801.48, 14,691.06 and 3,951.24

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Solution

The fourth proportional to 9,801.48, 14,691.06 and 3,951.24 is: 5,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.48 : 14,691.06 = 3,951.24 : x
  2. Step 2: Convert to fraction form
    9,801.48/14,691.06 = 3,951.24/x
  3. Step 3: Cross multiply
    9,801.48x = 14,691.06 × 3,951.24
  4. Step 4: Simplify right side
    9,801.48x = 58,047,903.91
  5. Step 5: Solve for x
    x = 58,047,903.91/9,801.48
  6. Step 6: Final answer
    x = 5,922.36

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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.