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Finding the Fourth Proportional to 9,502.98, 13,105.56 and 6,142.26

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Solution

The fourth proportional to 9,502.98, 13,105.56 and 6,142.26 is: 8,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,502.98 : 13,105.56 = 6,142.26 : x
  2. Step 2: Convert to fraction form
    9,502.98/13,105.56 = 6,142.26/x
  3. Step 3: Cross multiply
    9,502.98x = 13,105.56 × 6,142.26
  4. Step 4: Simplify right side
    9,502.98x = 80,497,756.97
  5. Step 5: Solve for x
    x = 80,497,756.97/9,502.98
  6. Step 6: Final answer
    x = 8,470.79

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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.