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Finding the Fourth Proportional to 6,156.69, 9,239.09 and 2,261.13

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Solution

The fourth proportional to 6,156.69, 9,239.09 and 2,261.13 is: 3,393.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.69 : 9,239.09 = 2,261.13 : x
  2. Step 2: Convert to fraction form
    6,156.69/9,239.09 = 2,261.13/x
  3. Step 3: Cross multiply
    6,156.69x = 9,239.09 × 2,261.13
  4. Step 4: Simplify right side
    6,156.69x = 20,890,772.27
  5. Step 5: Solve for x
    x = 20,890,772.27/6,156.69
  6. Step 6: Final answer
    x = 3,393.18

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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.