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Finding the Fourth Proportional to 9,712.88, 13,402.92 and 5,734.16

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Solution

The fourth proportional to 9,712.88, 13,402.92 and 5,734.16 is: 7,912.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.88 : 13,402.92 = 5,734.16 : x
  2. Step 2: Convert to fraction form
    9,712.88/13,402.92 = 5,734.16/x
  3. Step 3: Cross multiply
    9,712.88x = 13,402.92 × 5,734.16
  4. Step 4: Simplify right side
    9,712.88x = 76,854,487.75
  5. Step 5: Solve for x
    x = 76,854,487.75/9,712.88
  6. Step 6: Final answer
    x = 7,912.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.