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Finding the Fourth Proportional to 6,233.92, 9,307.49 and 5,611.84

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Solution

The fourth proportional to 6,233.92, 9,307.49 and 5,611.84 is: 8,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.92 : 9,307.49 = 5,611.84 : x
  2. Step 2: Convert to fraction form
    6,233.92/9,307.49 = 5,611.84/x
  3. Step 3: Cross multiply
    6,233.92x = 9,307.49 × 5,611.84
  4. Step 4: Simplify right side
    6,233.92x = 52,232,144.68
  5. Step 5: Solve for x
    x = 52,232,144.68/6,233.92
  6. Step 6: Final answer
    x = 8,378.70

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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.