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Finding the Fourth Proportional to 9,957.41, 13,740.46 and 5,708.43

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Solution

The fourth proportional to 9,957.41, 13,740.46 and 5,708.43 is: 7,877.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.41 : 13,740.46 = 5,708.43 : x
  2. Step 2: Convert to fraction form
    9,957.41/13,740.46 = 5,708.43/x
  3. Step 3: Cross multiply
    9,957.41x = 13,740.46 × 5,708.43
  4. Step 4: Simplify right side
    9,957.41x = 78,436,399.65
  5. Step 5: Solve for x
    x = 78,436,399.65/9,957.41
  6. Step 6: Final answer
    x = 7,877.19

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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.