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Finding the Fourth Proportional to 8,865, 12,229.38 and 7,098.84

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Solution

The fourth proportional to 8,865, 12,229.38 and 7,098.84 is: 9,792.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,865 : 12,229.38 = 7,098.84 : x
  2. Step 2: Convert to fraction form
    8,865/12,229.38 = 7,098.84/x
  3. Step 3: Cross multiply
    8,865x = 12,229.38 × 7,098.84
  4. Step 4: Simplify right side
    8,865x = 86,814,411.92
  5. Step 5: Solve for x
    x = 86,814,411.92/8,865
  6. Step 6: Final answer
    x = 9,792.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.