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Finding the Fourth Proportional to 9,868.72, 13,613.77 and 6,682.14

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Solution

The fourth proportional to 9,868.72, 13,613.77 and 6,682.14 is: 9,217.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.72 : 13,613.77 = 6,682.14 : x
  2. Step 2: Convert to fraction form
    9,868.72/13,613.77 = 6,682.14/x
  3. Step 3: Cross multiply
    9,868.72x = 13,613.77 × 6,682.14
  4. Step 4: Simplify right side
    9,868.72x = 90,969,117.07
  5. Step 5: Solve for x
    x = 90,969,117.07/9,868.72
  6. Step 6: Final answer
    x = 9,217.92

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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.