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Finding the Fourth Proportional to 8,282.34, 12,427.61 and 6,100.74

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Solution

The fourth proportional to 8,282.34, 12,427.61 and 6,100.74 is: 9,154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.34 : 12,427.61 = 6,100.74 : x
  2. Step 2: Convert to fraction form
    8,282.34/12,427.61 = 6,100.74/x
  3. Step 3: Cross multiply
    8,282.34x = 12,427.61 × 6,100.74
  4. Step 4: Simplify right side
    8,282.34x = 75,817,586.93
  5. Step 5: Solve for x
    x = 75,817,586.93/8,282.34
  6. Step 6: Final answer
    x = 9,154.13

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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.