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Finding the Fourth Proportional to 9,192.74, 12,682.28 and 5,409.90

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Solution

The fourth proportional to 9,192.74, 12,682.28 and 5,409.90 is: 7,463.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.74 : 12,682.28 = 5,409.90 : x
  2. Step 2: Convert to fraction form
    9,192.74/12,682.28 = 5,409.90/x
  3. Step 3: Cross multiply
    9,192.74x = 12,682.28 × 5,409.90
  4. Step 4: Simplify right side
    9,192.74x = 68,609,839.52
  5. Step 5: Solve for x
    x = 68,609,839.52/9,192.74
  6. Step 6: Final answer
    x = 7,463.48

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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.