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Finding the Fourth Proportional to 6,446.32, 8,896.63 and 3,614.15

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Solution

The fourth proportional to 6,446.32, 8,896.63 and 3,614.15 is: 4,987.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.32 : 8,896.63 = 3,614.15 : x
  2. Step 2: Convert to fraction form
    6,446.32/8,896.63 = 3,614.15/x
  3. Step 3: Cross multiply
    6,446.32x = 8,896.63 × 3,614.15
  4. Step 4: Simplify right side
    6,446.32x = 32,153,755.31
  5. Step 5: Solve for x
    x = 32,153,755.31/6,446.32
  6. Step 6: Final answer
    x = 4,987.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.