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Finding the Fourth Proportional to 9,194.04, 12,687.48 and 5,002.26

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Solution

The fourth proportional to 9,194.04, 12,687.48 and 5,002.26 is: 6,902.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.04 : 12,687.48 = 5,002.26 : x
  2. Step 2: Convert to fraction form
    9,194.04/12,687.48 = 5,002.26/x
  3. Step 3: Cross multiply
    9,194.04x = 12,687.48 × 5,002.26
  4. Step 4: Simplify right side
    9,194.04x = 63,466,073.70
  5. Step 5: Solve for x
    x = 63,466,073.70/9,194.04
  6. Step 6: Final answer
    x = 6,902.96

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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.