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Finding the Fourth Proportional to 9,869.46, 13,613.49 and 5,887.50

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Solution

The fourth proportional to 9,869.46, 13,613.49 and 5,887.50 is: 8,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.46 : 13,613.49 = 5,887.50 : x
  2. Step 2: Convert to fraction form
    9,869.46/13,613.49 = 5,887.50/x
  3. Step 3: Cross multiply
    9,869.46x = 13,613.49 × 5,887.50
  4. Step 4: Simplify right side
    9,869.46x = 80,149,422.38
  5. Step 5: Solve for x
    x = 80,149,422.38/9,869.46
  6. Step 6: Final answer
    x = 8,120.95

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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.