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Finding the Fourth Proportional to 9,542.90, 14,287.94 and 7,195.80

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Solution

The fourth proportional to 9,542.90, 14,287.94 and 7,195.80 is: 10,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.90 : 14,287.94 = 7,195.80 : x
  2. Step 2: Convert to fraction form
    9,542.90/14,287.94 = 7,195.80/x
  3. Step 3: Cross multiply
    9,542.90x = 14,287.94 × 7,195.80
  4. Step 4: Simplify right side
    9,542.90x = 102,813,158.65
  5. Step 5: Solve for x
    x = 102,813,158.65/9,542.90
  6. Step 6: Final answer
    x = 10,773.79

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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.