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Finding the Fourth Proportional to 9,865.71, 13,615.48 and 5,616.86

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Solution

The fourth proportional to 9,865.71, 13,615.48 and 5,616.86 is: 7,751.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.71 : 13,615.48 = 5,616.86 : x
  2. Step 2: Convert to fraction form
    9,865.71/13,615.48 = 5,616.86/x
  3. Step 3: Cross multiply
    9,865.71x = 13,615.48 × 5,616.86
  4. Step 4: Simplify right side
    9,865.71x = 76,476,183.94
  5. Step 5: Solve for x
    x = 76,476,183.94/9,865.71
  6. Step 6: Final answer
    x = 7,751.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.