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Finding the Fourth Proportional to 10,121.74, 15,192.09 and 6,233.74

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Solution

The fourth proportional to 10,121.74, 15,192.09 and 6,233.74 is: 9,356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,121.74 : 15,192.09 = 6,233.74 : x
  2. Step 2: Convert to fraction form
    10,121.74/15,192.09 = 6,233.74/x
  3. Step 3: Cross multiply
    10,121.74x = 15,192.09 × 6,233.74
  4. Step 4: Simplify right side
    10,121.74x = 94,703,539.12
  5. Step 5: Solve for x
    x = 94,703,539.12/10,121.74
  6. Step 6: Final answer
    x = 9,356.45

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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.