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Finding the Fourth Proportional to 6,343.28, 9,516.84 and 4,497.96

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Solution

The fourth proportional to 6,343.28, 9,516.84 and 4,497.96 is: 6,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.28 : 9,516.84 = 4,497.96 : x
  2. Step 2: Convert to fraction form
    6,343.28/9,516.84 = 4,497.96/x
  3. Step 3: Cross multiply
    6,343.28x = 9,516.84 × 4,497.96
  4. Step 4: Simplify right side
    6,343.28x = 42,806,365.65
  5. Step 5: Solve for x
    x = 42,806,365.65/6,343.28
  6. Step 6: Final answer
    x = 6,748.30

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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.