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Finding the Fourth Proportional to 9,342.68, 14,013.71 and 3,794.38

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Solution

The fourth proportional to 9,342.68, 14,013.71 and 3,794.38 is: 5,691.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.68 : 14,013.71 = 3,794.38 : x
  2. Step 2: Convert to fraction form
    9,342.68/14,013.71 = 3,794.38/x
  3. Step 3: Cross multiply
    9,342.68x = 14,013.71 × 3,794.38
  4. Step 4: Simplify right side
    9,342.68x = 53,173,301.17
  5. Step 5: Solve for x
    x = 53,173,301.17/9,342.68
  6. Step 6: Final answer
    x = 5,691.44

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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.