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Finding the Fourth Proportional to 7,120.80, 9,826.50 and 3,934.17

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Solution

The fourth proportional to 7,120.80, 9,826.50 and 3,934.17 is: 5,429.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.80 : 9,826.50 = 3,934.17 : x
  2. Step 2: Convert to fraction form
    7,120.80/9,826.50 = 3,934.17/x
  3. Step 3: Cross multiply
    7,120.80x = 9,826.50 × 3,934.17
  4. Step 4: Simplify right side
    7,120.80x = 38,659,121.51
  5. Step 5: Solve for x
    x = 38,659,121.51/7,120.80
  6. Step 6: Final answer
    x = 5,429.04

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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.