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Finding the Fourth Proportional to 6,120.36, 9,180.27 and 4,266

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Solution

The fourth proportional to 6,120.36, 9,180.27 and 4,266 is: 6,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.36 : 9,180.27 = 4,266 : x
  2. Step 2: Convert to fraction form
    6,120.36/9,180.27 = 4,266/x
  3. Step 3: Cross multiply
    6,120.36x = 9,180.27 × 4,266
  4. Step 4: Simplify right side
    6,120.36x = 39,163,031.82
  5. Step 5: Solve for x
    x = 39,163,031.82/6,120.36
  6. Step 6: Final answer
    x = 6,398.81

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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.