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Finding the Fourth Proportional to 6,125.66, 9,182.34 and 2,426.44

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Solution

The fourth proportional to 6,125.66, 9,182.34 and 2,426.44 is: 3,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.66 : 9,182.34 = 2,426.44 : x
  2. Step 2: Convert to fraction form
    6,125.66/9,182.34 = 2,426.44/x
  3. Step 3: Cross multiply
    6,125.66x = 9,182.34 × 2,426.44
  4. Step 4: Simplify right side
    6,125.66x = 22,280,397.07
  5. Step 5: Solve for x
    x = 22,280,397.07/6,125.66
  6. Step 6: Final answer
    x = 3,637.22

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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.