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Finding the Fourth Proportional to 6,123.18, 8,448.51 and 3,884.25

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Solution

The fourth proportional to 6,123.18, 8,448.51 and 3,884.25 is: 5,359.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.18 : 8,448.51 = 3,884.25 : x
  2. Step 2: Convert to fraction form
    6,123.18/8,448.51 = 3,884.25/x
  3. Step 3: Cross multiply
    6,123.18x = 8,448.51 × 3,884.25
  4. Step 4: Simplify right side
    6,123.18x = 32,816,082.72
  5. Step 5: Solve for x
    x = 32,816,082.72/6,123.18
  6. Step 6: Final answer
    x = 5,359.32

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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.