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Finding the Fourth Proportional to 7,078.11, 9,767.56 and 3,934.23

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Solution

The fourth proportional to 7,078.11, 9,767.56 and 3,934.23 is: 5,429.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.11 : 9,767.56 = 3,934.23 : x
  2. Step 2: Convert to fraction form
    7,078.11/9,767.56 = 3,934.23/x
  3. Step 3: Cross multiply
    7,078.11x = 9,767.56 × 3,934.23
  4. Step 4: Simplify right side
    7,078.11x = 38,427,854.37
  5. Step 5: Solve for x
    x = 38,427,854.37/7,078.11
  6. Step 6: Final answer
    x = 5,429.11

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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.