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Finding the Fourth Proportional to 7,078.44, 9,767.52 and 4,426.14

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Solution

The fourth proportional to 7,078.44, 9,767.52 and 4,426.14 is: 6,107.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.44 : 9,767.52 = 4,426.14 : x
  2. Step 2: Convert to fraction form
    7,078.44/9,767.52 = 4,426.14/x
  3. Step 3: Cross multiply
    7,078.44x = 9,767.52 × 4,426.14
  4. Step 4: Simplify right side
    7,078.44x = 43,232,410.97
  5. Step 5: Solve for x
    x = 43,232,410.97/7,078.44
  6. Step 6: Final answer
    x = 6,107.62

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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.