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Finding the Fourth Proportional to 9,869.71, 13,613.83 and 5,887.75

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Solution

The fourth proportional to 9,869.71, 13,613.83 and 5,887.75 is: 8,121.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.71 : 13,613.83 = 5,887.75 : x
  2. Step 2: Convert to fraction form
    9,869.71/13,613.83 = 5,887.75/x
  3. Step 3: Cross multiply
    9,869.71x = 13,613.83 × 5,887.75
  4. Step 4: Simplify right side
    9,869.71x = 80,154,827.58
  5. Step 5: Solve for x
    x = 80,154,827.58/9,869.71
  6. Step 6: Final answer
    x = 8,121.30

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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.