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Finding the Fourth Proportional to 9,342.30, 14,013.61 and 2,769.15

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Solution

The fourth proportional to 9,342.30, 14,013.61 and 2,769.15 is: 4,153.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.30 : 14,013.61 = 2,769.15 : x
  2. Step 2: Convert to fraction form
    9,342.30/14,013.61 = 2,769.15/x
  3. Step 3: Cross multiply
    9,342.30x = 14,013.61 × 2,769.15
  4. Step 4: Simplify right side
    9,342.30x = 38,805,833.76
  5. Step 5: Solve for x
    x = 38,805,833.76/9,342.30
  6. Step 6: Final answer
    x = 4,153.78

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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.