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Finding the Fourth Proportional to 7,121.54, 9,826.88 and 3,934.64

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Solution

The fourth proportional to 7,121.54, 9,826.88 and 3,934.64 is: 5,429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.54 : 9,826.88 = 3,934.64 : x
  2. Step 2: Convert to fraction form
    7,121.54/9,826.88 = 3,934.64/x
  3. Step 3: Cross multiply
    7,121.54x = 9,826.88 × 3,934.64
  4. Step 4: Simplify right side
    7,121.54x = 38,665,259.69
  5. Step 5: Solve for x
    x = 38,665,259.69/7,121.54
  6. Step 6: Final answer
    x = 5,429.34

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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.