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Finding the Fourth Proportional to 6,742.62, 9,305.94 and 4,979.32

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Solution

The fourth proportional to 6,742.62, 9,305.94 and 4,979.32 is: 6,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.62 : 9,305.94 = 4,979.32 : x
  2. Step 2: Convert to fraction form
    6,742.62/9,305.94 = 4,979.32/x
  3. Step 3: Cross multiply
    6,742.62x = 9,305.94 × 4,979.32
  4. Step 4: Simplify right side
    6,742.62x = 46,337,253.16
  5. Step 5: Solve for x
    x = 46,337,253.16/6,742.62
  6. Step 6: Final answer
    x = 6,872.29

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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.