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Finding the Fourth Proportional to 6,232.92, 9,306 and 5,610.84

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Solution

The fourth proportional to 6,232.92, 9,306 and 5,610.84 is: 8,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.92 : 9,306 = 5,610.84 : x
  2. Step 2: Convert to fraction form
    6,232.92/9,306 = 5,610.84/x
  3. Step 3: Cross multiply
    6,232.92x = 9,306 × 5,610.84
  4. Step 4: Simplify right side
    6,232.92x = 52,214,477.04
  5. Step 5: Solve for x
    x = 52,214,477.04/6,232.92
  6. Step 6: Final answer
    x = 8,377.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.