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Finding the Fourth Proportional to 9,242.72, 12,759.14 and 5,890.13

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Solution

The fourth proportional to 9,242.72, 12,759.14 and 5,890.13 is: 8,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.72 : 12,759.14 = 5,890.13 : x
  2. Step 2: Convert to fraction form
    9,242.72/12,759.14 = 5,890.13/x
  3. Step 3: Cross multiply
    9,242.72x = 12,759.14 × 5,890.13
  4. Step 4: Simplify right side
    9,242.72x = 75,152,993.29
  5. Step 5: Solve for x
    x = 75,152,993.29/9,242.72
  6. Step 6: Final answer
    x = 8,131.05

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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.