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Finding the Fourth Proportional to 9,863.15, 13,610.61 and 5,776.19

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Solution

The fourth proportional to 9,863.15, 13,610.61 and 5,776.19 is: 7,970.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.15 : 13,610.61 = 5,776.19 : x
  2. Step 2: Convert to fraction form
    9,863.15/13,610.61 = 5,776.19/x
  3. Step 3: Cross multiply
    9,863.15x = 13,610.61 × 5,776.19
  4. Step 4: Simplify right side
    9,863.15x = 78,617,469.38
  5. Step 5: Solve for x
    x = 78,617,469.38/9,863.15
  6. Step 6: Final answer
    x = 7,970.83

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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.