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Finding the Fourth Proportional to 6,223.97, 9,334.51 and 3,585.87

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Solution

The fourth proportional to 6,223.97, 9,334.51 and 3,585.87 is: 5,377.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.97 : 9,334.51 = 3,585.87 : x
  2. Step 2: Convert to fraction form
    6,223.97/9,334.51 = 3,585.87/x
  3. Step 3: Cross multiply
    6,223.97x = 9,334.51 × 3,585.87
  4. Step 4: Simplify right side
    6,223.97x = 33,472,330.41
  5. Step 5: Solve for x
    x = 33,472,330.41/6,223.97
  6. Step 6: Final answer
    x = 5,377.97

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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.