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Finding the Fourth Proportional to 9,349.49, 14,020.13 and 3,502.00

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Solution

The fourth proportional to 9,349.49, 14,020.13 and 3,502.00 is: 5,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.49 : 14,020.13 = 3,502.00 : x
  2. Step 2: Convert to fraction form
    9,349.49/14,020.13 = 3,502.00/x
  3. Step 3: Cross multiply
    9,349.49x = 14,020.13 × 3,502.00
  4. Step 4: Simplify right side
    9,349.49x = 49,098,521.54
  5. Step 5: Solve for x
    x = 49,098,521.54/9,349.49
  6. Step 6: Final answer
    x = 5,251.46

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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.