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Finding the Fourth Proportional to 9,867.68, 13,617.60 and 5,676.20

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Solution

The fourth proportional to 9,867.68, 13,617.60 and 5,676.20 is: 7,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.68 : 13,617.60 = 5,676.20 : x
  2. Step 2: Convert to fraction form
    9,867.68/13,617.60 = 5,676.20/x
  3. Step 3: Cross multiply
    9,867.68x = 13,617.60 × 5,676.20
  4. Step 4: Simplify right side
    9,867.68x = 77,296,221.12
  5. Step 5: Solve for x
    x = 77,296,221.12/9,867.68
  6. Step 6: Final answer
    x = 7,833.27

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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.