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Finding the Fourth Proportional to 9,743.84, 14,614.13 and 3,502.59

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Solution

The fourth proportional to 9,743.84, 14,614.13 and 3,502.59 is: 5,253.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.84 : 14,614.13 = 3,502.59 : x
  2. Step 2: Convert to fraction form
    9,743.84/14,614.13 = 3,502.59/x
  3. Step 3: Cross multiply
    9,743.84x = 14,614.13 × 3,502.59
  4. Step 4: Simplify right side
    9,743.84x = 51,187,232.53
  5. Step 5: Solve for x
    x = 51,187,232.53/9,743.84
  6. Step 6: Final answer
    x = 5,253.29

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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.