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Finding the Fourth Proportional to 9,981.38, 13,779.70 and 6,003.38

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Solution

The fourth proportional to 9,981.38, 13,779.70 and 6,003.38 is: 8,287.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,981.38 : 13,779.70 = 6,003.38 : x
  2. Step 2: Convert to fraction form
    9,981.38/13,779.70 = 6,003.38/x
  3. Step 3: Cross multiply
    9,981.38x = 13,779.70 × 6,003.38
  4. Step 4: Simplify right side
    9,981.38x = 82,724,691.48
  5. Step 5: Solve for x
    x = 82,724,691.48/9,981.38
  6. Step 6: Final answer
    x = 8,287.91

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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.