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Finding the Fourth Proportional to 6,238.02, 9,358.20 and 2,078.28

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Solution

The fourth proportional to 6,238.02, 9,358.20 and 2,078.28 is: 3,117.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.02 : 9,358.20 = 2,078.28 : x
  2. Step 2: Convert to fraction form
    6,238.02/9,358.20 = 2,078.28/x
  3. Step 3: Cross multiply
    6,238.02x = 9,358.20 × 2,078.28
  4. Step 4: Simplify right side
    6,238.02x = 19,448,959.90
  5. Step 5: Solve for x
    x = 19,448,959.90/6,238.02
  6. Step 6: Final answer
    x = 3,117.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.