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Finding the Fourth Proportional to 9,920.28, 13,689.96 and 5,728.56

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Solution

The fourth proportional to 9,920.28, 13,689.96 and 5,728.56 is: 7,905.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,920.28 : 13,689.96 = 5,728.56 : x
  2. Step 2: Convert to fraction form
    9,920.28/13,689.96 = 5,728.56/x
  3. Step 3: Cross multiply
    9,920.28x = 13,689.96 × 5,728.56
  4. Step 4: Simplify right side
    9,920.28x = 78,423,757.26
  5. Step 5: Solve for x
    x = 78,423,757.26/9,920.28
  6. Step 6: Final answer
    x = 7,905.40

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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.