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Finding the Fourth Proportional to 7,791.15, 11,739.32 and 6,434.87

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Solution

The fourth proportional to 7,791.15, 11,739.32 and 6,434.87 is: 9,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.15 : 11,739.32 = 6,434.87 : x
  2. Step 2: Convert to fraction form
    7,791.15/11,739.32 = 6,434.87/x
  3. Step 3: Cross multiply
    7,791.15x = 11,739.32 × 6,434.87
  4. Step 4: Simplify right side
    7,791.15x = 75,541,031.99
  5. Step 5: Solve for x
    x = 75,541,031.99/7,791.15
  6. Step 6: Final answer
    x = 9,695.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.