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Finding the Fourth Proportional to 9,867.13, 13,616.63 and 5,675.38

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Solution

The fourth proportional to 9,867.13, 13,616.63 and 5,675.38 is: 7,832.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.13 : 13,616.63 = 5,675.38 : x
  2. Step 2: Convert to fraction form
    9,867.13/13,616.63 = 5,675.38/x
  3. Step 3: Cross multiply
    9,867.13x = 13,616.63 × 5,675.38
  4. Step 4: Simplify right side
    9,867.13x = 77,279,549.57
  5. Step 5: Solve for x
    x = 77,279,549.57/9,867.13
  6. Step 6: Final answer
    x = 7,832.02

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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.