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Finding the Fourth Proportional to 6,514.92, 9,773.94 and 2,132.40

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Solution

The fourth proportional to 6,514.92, 9,773.94 and 2,132.40 is: 3,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.92 : 9,773.94 = 2,132.40 : x
  2. Step 2: Convert to fraction form
    6,514.92/9,773.94 = 2,132.40/x
  3. Step 3: Cross multiply
    6,514.92x = 9,773.94 × 2,132.40
  4. Step 4: Simplify right side
    6,514.92x = 20,841,949.66
  5. Step 5: Solve for x
    x = 20,841,949.66/6,514.92
  6. Step 6: Final answer
    x = 3,199.11

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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.