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Finding the Fourth Proportional to 6,934.42, 9,569.46 and 3,950.38

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Solution

The fourth proportional to 6,934.42, 9,569.46 and 3,950.38 is: 5,451.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.42 : 9,569.46 = 3,950.38 : x
  2. Step 2: Convert to fraction form
    6,934.42/9,569.46 = 3,950.38/x
  3. Step 3: Cross multiply
    6,934.42x = 9,569.46 × 3,950.38
  4. Step 4: Simplify right side
    6,934.42x = 37,803,003.39
  5. Step 5: Solve for x
    x = 37,803,003.39/6,934.42
  6. Step 6: Final answer
    x = 5,451.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.