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Finding the Fourth Proportional to 9,116.97, 12,592.31 and 6,475.83

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Solution

The fourth proportional to 9,116.97, 12,592.31 and 6,475.83 is: 8,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.97 : 12,592.31 = 6,475.83 : x
  2. Step 2: Convert to fraction form
    9,116.97/12,592.31 = 6,475.83/x
  3. Step 3: Cross multiply
    9,116.97x = 12,592.31 × 6,475.83
  4. Step 4: Simplify right side
    9,116.97x = 81,545,626.49
  5. Step 5: Solve for x
    x = 81,545,626.49/9,116.97
  6. Step 6: Final answer
    x = 8,944.38

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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.