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Finding the Fourth Proportional to 6,122.66, 9,180.32 and 4,150.71

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Solution

The fourth proportional to 6,122.66, 9,180.32 and 4,150.71 is: 6,223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.66 : 9,180.32 = 4,150.71 : x
  2. Step 2: Convert to fraction form
    6,122.66/9,180.32 = 4,150.71/x
  3. Step 3: Cross multiply
    6,122.66x = 9,180.32 × 4,150.71
  4. Step 4: Simplify right side
    6,122.66x = 38,104,825.27
  5. Step 5: Solve for x
    x = 38,104,825.27/6,122.66
  6. Step 6: Final answer
    x = 6,223.58

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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.