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Finding the Fourth Proportional to 8,831.97, 12,196.04 and 6,589.94

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Solution

The fourth proportional to 8,831.97, 12,196.04 and 6,589.94 is: 9,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.97 : 12,196.04 = 6,589.94 : x
  2. Step 2: Convert to fraction form
    8,831.97/12,196.04 = 6,589.94/x
  3. Step 3: Cross multiply
    8,831.97x = 12,196.04 × 6,589.94
  4. Step 4: Simplify right side
    8,831.97x = 80,371,077.91
  5. Step 5: Solve for x
    x = 80,371,077.91/8,831.97
  6. Step 6: Final answer
    x = 9,100.02

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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.