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Finding the Fourth Proportional to 9,142.28, 13,718.89 and 8,398.70

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Solution

The fourth proportional to 9,142.28, 13,718.89 and 8,398.70 is: 12,603.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.28 : 13,718.89 = 8,398.70 : x
  2. Step 2: Convert to fraction form
    9,142.28/13,718.89 = 8,398.70/x
  3. Step 3: Cross multiply
    9,142.28x = 13,718.89 × 8,398.70
  4. Step 4: Simplify right side
    9,142.28x = 115,220,772.85
  5. Step 5: Solve for x
    x = 115,220,772.85/9,142.28
  6. Step 6: Final answer
    x = 12,603.07

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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.