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Finding the Fourth Proportional to 9,957.54, 13,740.74 and 5,708.56

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Solution

The fourth proportional to 9,957.54, 13,740.74 and 5,708.56 is: 7,877.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.54 : 13,740.74 = 5,708.56 : x
  2. Step 2: Convert to fraction form
    9,957.54/13,740.74 = 5,708.56/x
  3. Step 3: Cross multiply
    9,957.54x = 13,740.74 × 5,708.56
  4. Step 4: Simplify right side
    9,957.54x = 78,439,838.73
  5. Step 5: Solve for x
    x = 78,439,838.73/9,957.54
  6. Step 6: Final answer
    x = 7,877.43

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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.