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Finding the Fourth Proportional to 9,957.42, 13,725.90 and 7,435.71

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Solution

The fourth proportional to 9,957.42, 13,725.90 and 7,435.71 is: 10,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.42 : 13,725.90 = 7,435.71 : x
  2. Step 2: Convert to fraction form
    9,957.42/13,725.90 = 7,435.71/x
  3. Step 3: Cross multiply
    9,957.42x = 13,725.90 × 7,435.71
  4. Step 4: Simplify right side
    9,957.42x = 102,061,811.89
  5. Step 5: Solve for x
    x = 102,061,811.89/9,957.42
  6. Step 6: Final answer
    x = 10,249.82

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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.