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Finding the Fourth Proportional to 9,660.39, 14,489.29 and 3,420.55

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Solution

The fourth proportional to 9,660.39, 14,489.29 and 3,420.55 is: 5,130.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.39 : 14,489.29 = 3,420.55 : x
  2. Step 2: Convert to fraction form
    9,660.39/14,489.29 = 3,420.55/x
  3. Step 3: Cross multiply
    9,660.39x = 14,489.29 × 3,420.55
  4. Step 4: Simplify right side
    9,660.39x = 49,561,340.91
  5. Step 5: Solve for x
    x = 49,561,340.91/9,660.39
  6. Step 6: Final answer
    x = 5,130.37

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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.