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Finding the Fourth Proportional to 9,932.85, 13,703.42 and 6,398.11

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Solution

The fourth proportional to 9,932.85, 13,703.42 and 6,398.11 is: 8,826.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.85 : 13,703.42 = 6,398.11 : x
  2. Step 2: Convert to fraction form
    9,932.85/13,703.42 = 6,398.11/x
  3. Step 3: Cross multiply
    9,932.85x = 13,703.42 × 6,398.11
  4. Step 4: Simplify right side
    9,932.85x = 87,675,988.54
  5. Step 5: Solve for x
    x = 87,675,988.54/9,932.85
  6. Step 6: Final answer
    x = 8,826.87

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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.