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Finding the Fourth Proportional to 6,123.92, 8,449.16 and 4,233.29

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Solution

The fourth proportional to 6,123.92, 8,449.16 and 4,233.29 is: 5,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.92 : 8,449.16 = 4,233.29 : x
  2. Step 2: Convert to fraction form
    6,123.92/8,449.16 = 4,233.29/x
  3. Step 3: Cross multiply
    6,123.92x = 8,449.16 × 4,233.29
  4. Step 4: Simplify right side
    6,123.92x = 35,767,681.12
  5. Step 5: Solve for x
    x = 35,767,681.12/6,123.92
  6. Step 6: Final answer
    x = 5,840.66

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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.