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Finding the Fourth Proportional to 9,249.59, 12,742.18 and 6,411.96

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Solution

The fourth proportional to 9,249.59, 12,742.18 and 6,411.96 is: 8,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.59 : 12,742.18 = 6,411.96 : x
  2. Step 2: Convert to fraction form
    9,249.59/12,742.18 = 6,411.96/x
  3. Step 3: Cross multiply
    9,249.59x = 12,742.18 × 6,411.96
  4. Step 4: Simplify right side
    9,249.59x = 81,702,332.44
  5. Step 5: Solve for x
    x = 81,702,332.44/9,249.59
  6. Step 6: Final answer
    x = 8,833.07

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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.