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Finding the Fourth Proportional to 6,934.74, 9,569.97 and 3,950.70

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Solution

The fourth proportional to 6,934.74, 9,569.97 and 3,950.70 is: 5,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.74 : 9,569.97 = 3,950.70 : x
  2. Step 2: Convert to fraction form
    6,934.74/9,569.97 = 3,950.70/x
  3. Step 3: Cross multiply
    6,934.74x = 9,569.97 × 3,950.70
  4. Step 4: Simplify right side
    6,934.74x = 37,808,080.48
  5. Step 5: Solve for x
    x = 37,808,080.48/6,934.74
  6. Step 6: Final answer
    x = 5,451.98

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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.