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Finding the Fourth Proportional to 6,872.38, 9,483.88 and 3,888.15

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Solution

The fourth proportional to 6,872.38, 9,483.88 and 3,888.15 is: 5,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.38 : 9,483.88 = 3,888.15 : x
  2. Step 2: Convert to fraction form
    6,872.38/9,483.88 = 3,888.15/x
  3. Step 3: Cross multiply
    6,872.38x = 9,483.88 × 3,888.15
  4. Step 4: Simplify right side
    6,872.38x = 36,874,748.02
  5. Step 5: Solve for x
    x = 36,874,748.02/6,872.38
  6. Step 6: Final answer
    x = 5,365.64

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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.