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Finding the Fourth Proportional to 9,865.50, 13,613.10 and 5,887.08

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Solution

The fourth proportional to 9,865.50, 13,613.10 and 5,887.08 is: 8,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.50 : 13,613.10 = 5,887.08 : x
  2. Step 2: Convert to fraction form
    9,865.50/13,613.10 = 5,887.08/x
  3. Step 3: Cross multiply
    9,865.50x = 13,613.10 × 5,887.08
  4. Step 4: Simplify right side
    9,865.50x = 80,141,408.75
  5. Step 5: Solve for x
    x = 80,141,408.75/9,865.50
  6. Step 6: Final answer
    x = 8,123.40

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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.