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Finding the Fourth Proportional to 9,502.68, 14,253.30 and 3,342.36

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Solution

The fourth proportional to 9,502.68, 14,253.30 and 3,342.36 is: 5,013.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.68 : 14,253.30 = 3,342.36 : x
  2. Step 2: Convert to fraction form
    9,502.68/14,253.30 = 3,342.36/x
  3. Step 3: Cross multiply
    9,502.68x = 14,253.30 × 3,342.36
  4. Step 4: Simplify right side
    9,502.68x = 47,639,659.79
  5. Step 5: Solve for x
    x = 47,639,659.79/9,502.68
  6. Step 6: Final answer
    x = 5,013.29

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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.