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Finding the Fourth Proportional to 6,514.18, 9,758.31 and 5,589.70

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Solution

The fourth proportional to 6,514.18, 9,758.31 and 5,589.70 is: 8,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.18 : 9,758.31 = 5,589.70 : x
  2. Step 2: Convert to fraction form
    6,514.18/9,758.31 = 5,589.70/x
  3. Step 3: Cross multiply
    6,514.18x = 9,758.31 × 5,589.70
  4. Step 4: Simplify right side
    6,514.18x = 54,546,025.41
  5. Step 5: Solve for x
    x = 54,546,025.41/6,514.18
  6. Step 6: Final answer
    x = 8,373.43

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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.