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Finding the Fourth Proportional to 9,743.76, 14,614.02 and 3,502.62

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Solution

The fourth proportional to 9,743.76, 14,614.02 and 3,502.62 is: 5,253.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.76 : 14,614.02 = 3,502.62 : x
  2. Step 2: Convert to fraction form
    9,743.76/14,614.02 = 3,502.62/x
  3. Step 3: Cross multiply
    9,743.76x = 14,614.02 × 3,502.62
  4. Step 4: Simplify right side
    9,743.76x = 51,187,358.73
  5. Step 5: Solve for x
    x = 51,187,358.73/9,743.76
  6. Step 6: Final answer
    x = 5,253.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.