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Finding the Fourth Proportional to 6,123.43, 9,182.27 and 4,276.63

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Solution

The fourth proportional to 6,123.43, 9,182.27 and 4,276.63 is: 6,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.43 : 9,182.27 = 4,276.63 : x
  2. Step 2: Convert to fraction form
    6,123.43/9,182.27 = 4,276.63/x
  3. Step 3: Cross multiply
    6,123.43x = 9,182.27 × 4,276.63
  4. Step 4: Simplify right side
    6,123.43x = 39,269,149.97
  5. Step 5: Solve for x
    x = 39,269,149.97/6,123.43
  6. Step 6: Final answer
    x = 6,412.93

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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.