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Finding the Fourth Proportional to 9,851.38, 13,591.05 and 6,495.95

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Solution

The fourth proportional to 9,851.38, 13,591.05 and 6,495.95 is: 8,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.38 : 13,591.05 = 6,495.95 : x
  2. Step 2: Convert to fraction form
    9,851.38/13,591.05 = 6,495.95/x
  3. Step 3: Cross multiply
    9,851.38x = 13,591.05 × 6,495.95
  4. Step 4: Simplify right side
    9,851.38x = 88,286,781.25
  5. Step 5: Solve for x
    x = 88,286,781.25/9,851.38
  6. Step 6: Final answer
    x = 8,961.87

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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.