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Finding the Fourth Proportional to 6,943.51, 9,582.97 and 3,959.57

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Solution

The fourth proportional to 6,943.51, 9,582.97 and 3,959.57 is: 5,464.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.51 : 9,582.97 = 3,959.57 : x
  2. Step 2: Convert to fraction form
    6,943.51/9,582.97 = 3,959.57/x
  3. Step 3: Cross multiply
    6,943.51x = 9,582.97 × 3,959.57
  4. Step 4: Simplify right side
    6,943.51x = 37,944,440.52
  5. Step 5: Solve for x
    x = 37,944,440.52/6,943.51
  6. Step 6: Final answer
    x = 5,464.73

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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.