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Finding the Fourth Proportional to 9,125.46, 12,595.09 and 5,766.14

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Solution

The fourth proportional to 9,125.46, 12,595.09 and 5,766.14 is: 7,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.46 : 12,595.09 = 5,766.14 : x
  2. Step 2: Convert to fraction form
    9,125.46/12,595.09 = 5,766.14/x
  3. Step 3: Cross multiply
    9,125.46x = 12,595.09 × 5,766.14
  4. Step 4: Simplify right side
    9,125.46x = 72,625,052.25
  5. Step 5: Solve for x
    x = 72,625,052.25/9,125.46
  6. Step 6: Final answer
    x = 7,958.51

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