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Finding the Fourth Proportional to 9,932.73, 13,708.49 and 6,406.20

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Solution

The fourth proportional to 9,932.73, 13,708.49 and 6,406.20 is: 8,841.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.73 : 13,708.49 = 6,406.20 : x
  2. Step 2: Convert to fraction form
    9,932.73/13,708.49 = 6,406.20/x
  3. Step 3: Cross multiply
    9,932.73x = 13,708.49 × 6,406.20
  4. Step 4: Simplify right side
    9,932.73x = 87,819,245.20
  5. Step 5: Solve for x
    x = 87,819,245.20/9,932.73
  6. Step 6: Final answer
    x = 8,841.40

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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.