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Finding the Fourth Proportional to 9,337.17, 12,847.11 and 8,074.18

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Solution

The fourth proportional to 9,337.17, 12,847.11 and 8,074.18 is: 11,109.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.17 : 12,847.11 = 8,074.18 : x
  2. Step 2: Convert to fraction form
    9,337.17/12,847.11 = 8,074.18/x
  3. Step 3: Cross multiply
    9,337.17x = 12,847.11 × 8,074.18
  4. Step 4: Simplify right side
    9,337.17x = 103,729,864.40
  5. Step 5: Solve for x
    x = 103,729,864.40/9,337.17
  6. Step 6: Final answer
    x = 11,109.34

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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.