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Finding the Fourth Proportional to 6,180.71, 9,273.72 and 4,101.44

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Solution

The fourth proportional to 6,180.71, 9,273.72 and 4,101.44 is: 6,153.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,180.71 : 9,273.72 = 4,101.44 : x
  2. Step 2: Convert to fraction form
    6,180.71/9,273.72 = 4,101.44/x
  3. Step 3: Cross multiply
    6,180.71x = 9,273.72 × 4,101.44
  4. Step 4: Simplify right side
    6,180.71x = 38,035,606.16
  5. Step 5: Solve for x
    x = 38,035,606.16/6,180.71
  6. Step 6: Final answer
    x = 6,153.92

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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.