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Finding the Fourth Proportional to 9,613.92, 14,419.64 and 3,040.78

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Solution

The fourth proportional to 9,613.92, 14,419.64 and 3,040.78 is: 4,560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,613.92 : 14,419.64 = 3,040.78 : x
  2. Step 2: Convert to fraction form
    9,613.92/14,419.64 = 3,040.78/x
  3. Step 3: Cross multiply
    9,613.92x = 14,419.64 × 3,040.78
  4. Step 4: Simplify right side
    9,613.92x = 43,846,952.92
  5. Step 5: Solve for x
    x = 43,846,952.92/9,613.92
  6. Step 6: Final answer
    x = 4,560.78

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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.