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Finding the Fourth Proportional to 9,141.43, 13,710.41 and 4,456.73

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Solution

The fourth proportional to 9,141.43, 13,710.41 and 4,456.73 is: 6,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.43 : 13,710.41 = 4,456.73 : x
  2. Step 2: Convert to fraction form
    9,141.43/13,710.41 = 4,456.73/x
  3. Step 3: Cross multiply
    9,141.43x = 13,710.41 × 4,456.73
  4. Step 4: Simplify right side
    9,141.43x = 61,103,595.56
  5. Step 5: Solve for x
    x = 61,103,595.56/9,141.43
  6. Step 6: Final answer
    x = 6,684.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.