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Finding the Fourth Proportional to 9,841.20, 13,577.94 and 6,298.26

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Solution

The fourth proportional to 9,841.20, 13,577.94 and 6,298.26 is: 8,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.20 : 13,577.94 = 6,298.26 : x
  2. Step 2: Convert to fraction form
    9,841.20/13,577.94 = 6,298.26/x
  3. Step 3: Cross multiply
    9,841.20x = 13,577.94 × 6,298.26
  4. Step 4: Simplify right side
    9,841.20x = 85,517,396.38
  5. Step 5: Solve for x
    x = 85,517,396.38/9,841.20
  6. Step 6: Final answer
    x = 8,689.73

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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.