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Finding the Fourth Proportional to 6,343.47, 9,516.80 and 2,394.72

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Solution

The fourth proportional to 6,343.47, 9,516.80 and 2,394.72 is: 3,592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.47 : 9,516.80 = 2,394.72 : x
  2. Step 2: Convert to fraction form
    6,343.47/9,516.80 = 2,394.72/x
  3. Step 3: Cross multiply
    6,343.47x = 9,516.80 × 2,394.72
  4. Step 4: Simplify right side
    6,343.47x = 22,790,071.30
  5. Step 5: Solve for x
    x = 22,790,071.30/6,343.47
  6. Step 6: Final answer
    x = 3,592.68

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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.