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Finding the Fourth Proportional to 9,486.42, 14,229.60 and 2,560.92

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Solution

The fourth proportional to 9,486.42, 14,229.60 and 2,560.92 is: 3,841.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.42 : 14,229.60 = 2,560.92 : x
  2. Step 2: Convert to fraction form
    9,486.42/14,229.60 = 2,560.92/x
  3. Step 3: Cross multiply
    9,486.42x = 14,229.60 × 2,560.92
  4. Step 4: Simplify right side
    9,486.42x = 36,440,867.23
  5. Step 5: Solve for x
    x = 36,440,867.23/9,486.42
  6. Step 6: Final answer
    x = 3,841.37

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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.