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Finding the Fourth Proportional to 9,712.92, 13,400.70 and 5,735.36

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Solution

The fourth proportional to 9,712.92, 13,400.70 and 5,735.36 is: 7,912.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.92 : 13,400.70 = 5,735.36 : x
  2. Step 2: Convert to fraction form
    9,712.92/13,400.70 = 5,735.36/x
  3. Step 3: Cross multiply
    9,712.92x = 13,400.70 × 5,735.36
  4. Step 4: Simplify right side
    9,712.92x = 76,857,838.75
  5. Step 5: Solve for x
    x = 76,857,838.75/9,712.92
  6. Step 6: Final answer
    x = 7,912.95

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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.