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Finding the Fourth Proportional to 9,868.38, 13,618.55 and 5,392.32

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Solution

The fourth proportional to 9,868.38, 13,618.55 and 5,392.32 is: 7,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.38 : 13,618.55 = 5,392.32 : x
  2. Step 2: Convert to fraction form
    9,868.38/13,618.55 = 5,392.32/x
  3. Step 3: Cross multiply
    9,868.38x = 13,618.55 × 5,392.32
  4. Step 4: Simplify right side
    9,868.38x = 73,435,593.02
  5. Step 5: Solve for x
    x = 73,435,593.02/9,868.38
  6. Step 6: Final answer
    x = 7,441.50

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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.