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Finding the Fourth Proportional to 9,743.97, 14,607.20 and 3,502.52

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Solution

The fourth proportional to 9,743.97, 14,607.20 and 3,502.52 is: 5,250.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.97 : 14,607.20 = 3,502.52 : x
  2. Step 2: Convert to fraction form
    9,743.97/14,607.20 = 3,502.52/x
  3. Step 3: Cross multiply
    9,743.97x = 14,607.20 × 3,502.52
  4. Step 4: Simplify right side
    9,743.97x = 51,162,010.14
  5. Step 5: Solve for x
    x = 51,162,010.14/9,743.97
  6. Step 6: Final answer
    x = 5,250.63

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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.