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Finding the Fourth Proportional to 9,194.69, 13,792.85 and 2,952.43

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Solution

The fourth proportional to 9,194.69, 13,792.85 and 2,952.43 is: 4,428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.69 : 13,792.85 = 2,952.43 : x
  2. Step 2: Convert to fraction form
    9,194.69/13,792.85 = 2,952.43/x
  3. Step 3: Cross multiply
    9,194.69x = 13,792.85 × 2,952.43
  4. Step 4: Simplify right side
    9,194.69x = 40,722,424.13
  5. Step 5: Solve for x
    x = 40,722,424.13/9,194.69
  6. Step 6: Final answer
    x = 4,428.91

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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.