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Finding the Fourth Proportional to 6,872.16, 9,480.96 and 5,005.92

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Solution

The fourth proportional to 6,872.16, 9,480.96 and 5,005.92 is: 6,906.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.16 : 9,480.96 = 5,005.92 : x
  2. Step 2: Convert to fraction form
    6,872.16/9,480.96 = 5,005.92/x
  3. Step 3: Cross multiply
    6,872.16x = 9,480.96 × 5,005.92
  4. Step 4: Simplify right side
    6,872.16x = 47,460,927.28
  5. Step 5: Solve for x
    x = 47,460,927.28/6,872.16
  6. Step 6: Final answer
    x = 6,906.26

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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.