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Finding the Fourth Proportional to 8,064.83, 12,085.90 and 6,414.05

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Solution

The fourth proportional to 8,064.83, 12,085.90 and 6,414.05 is: 9,612.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,064.83 : 12,085.90 = 6,414.05 : x
  2. Step 2: Convert to fraction form
    8,064.83/12,085.90 = 6,414.05/x
  3. Step 3: Cross multiply
    8,064.83x = 12,085.90 × 6,414.05
  4. Step 4: Simplify right side
    8,064.83x = 77,519,566.90
  5. Step 5: Solve for x
    x = 77,519,566.90/8,064.83
  6. Step 6: Final answer
    x = 9,612.05

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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.