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Finding the Fourth Proportional to 9,411.71, 12,990.52 and 6,391.94

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Solution

The fourth proportional to 9,411.71, 12,990.52 and 6,391.94 is: 8,822.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.71 : 12,990.52 = 6,391.94 : x
  2. Step 2: Convert to fraction form
    9,411.71/12,990.52 = 6,391.94/x
  3. Step 3: Cross multiply
    9,411.71x = 12,990.52 × 6,391.94
  4. Step 4: Simplify right side
    9,411.71x = 83,034,672.86
  5. Step 5: Solve for x
    x = 83,034,672.86/9,411.71
  6. Step 6: Final answer
    x = 8,822.49

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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.