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Finding the Fourth Proportional to 7,614.14, 11,437.70 and 6,446.52

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Solution

The fourth proportional to 7,614.14, 11,437.70 and 6,446.52 is: 9,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,614.14 : 11,437.70 = 6,446.52 : x
  2. Step 2: Convert to fraction form
    7,614.14/11,437.70 = 6,446.52/x
  3. Step 3: Cross multiply
    7,614.14x = 11,437.70 × 6,446.52
  4. Step 4: Simplify right side
    7,614.14x = 73,733,329.57
  5. Step 5: Solve for x
    x = 73,733,329.57/7,614.14
  6. Step 6: Final answer
    x = 9,683.74

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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.