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Finding the Fourth Proportional to 6,055.10, 9,082.65 and 5,714.90

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Solution

The fourth proportional to 6,055.10, 9,082.65 and 5,714.90 is: 8,572.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,055.10 : 9,082.65 = 5,714.90 : x
  2. Step 2: Convert to fraction form
    6,055.10/9,082.65 = 5,714.90/x
  3. Step 3: Cross multiply
    6,055.10x = 9,082.65 × 5,714.90
  4. Step 4: Simplify right side
    6,055.10x = 51,906,436.49
  5. Step 5: Solve for x
    x = 51,906,436.49/6,055.10
  6. Step 6: Final answer
    x = 8,572.35

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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.