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Finding the Fourth Proportional to 9,712.96, 13,404.18 and 5,737.48

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Solution

The fourth proportional to 9,712.96, 13,404.18 and 5,737.48 is: 7,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.96 : 13,404.18 = 5,737.48 : x
  2. Step 2: Convert to fraction form
    9,712.96/13,404.18 = 5,737.48/x
  3. Step 3: Cross multiply
    9,712.96x = 13,404.18 × 5,737.48
  4. Step 4: Simplify right side
    9,712.96x = 76,906,214.67
  5. Step 5: Solve for x
    x = 76,906,214.67/9,712.96
  6. Step 6: Final answer
    x = 7,917.90

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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.