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Finding the Fourth Proportional to 9,932.16, 13,701.24 and 6,745.62

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Solution

The fourth proportional to 9,932.16, 13,701.24 and 6,745.62 is: 9,305.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.16 : 13,701.24 = 6,745.62 : x
  2. Step 2: Convert to fraction form
    9,932.16/13,701.24 = 6,745.62/x
  3. Step 3: Cross multiply
    9,932.16x = 13,701.24 × 6,745.62
  4. Step 4: Simplify right side
    9,932.16x = 92,423,358.57
  5. Step 5: Solve for x
    x = 92,423,358.57/9,932.16
  6. Step 6: Final answer
    x = 9,305.46

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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.