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Finding the Fourth Proportional to 7,198.09, 9,925.17 and 5,867.66

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Solution

The fourth proportional to 7,198.09, 9,925.17 and 5,867.66 is: 8,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,198.09 : 9,925.17 = 5,867.66 : x
  2. Step 2: Convert to fraction form
    7,198.09/9,925.17 = 5,867.66/x
  3. Step 3: Cross multiply
    7,198.09x = 9,925.17 × 5,867.66
  4. Step 4: Simplify right side
    7,198.09x = 58,237,523.00
  5. Step 5: Solve for x
    x = 58,237,523.00/7,198.09
  6. Step 6: Final answer
    x = 8,090.69

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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.