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Finding the Fourth Proportional to 6,877.38, 9,490.72 and 3,893.20

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Solution

The fourth proportional to 6,877.38, 9,490.72 and 3,893.20 is: 5,372.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,877.38 : 9,490.72 = 3,893.20 : x
  2. Step 2: Convert to fraction form
    6,877.38/9,490.72 = 3,893.20/x
  3. Step 3: Cross multiply
    6,877.38x = 9,490.72 × 3,893.20
  4. Step 4: Simplify right side
    6,877.38x = 36,949,271.10
  5. Step 5: Solve for x
    x = 36,949,271.10/6,877.38
  6. Step 6: Final answer
    x = 5,372.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.