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Finding the Fourth Proportional to 8,489.40, 12,734.10 and 6,185.40

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Solution

The fourth proportional to 8,489.40, 12,734.10 and 6,185.40 is: 9,278.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.40 : 12,734.10 = 6,185.40 : x
  2. Step 2: Convert to fraction form
    8,489.40/12,734.10 = 6,185.40/x
  3. Step 3: Cross multiply
    8,489.40x = 12,734.10 × 6,185.40
  4. Step 4: Simplify right side
    8,489.40x = 78,765,502.14
  5. Step 5: Solve for x
    x = 78,765,502.14/8,489.40
  6. Step 6: Final answer
    x = 9,278.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.