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Finding the Fourth Proportional to 6,733.60, 9,282.74 and 4,737.96

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Solution

The fourth proportional to 6,733.60, 9,282.74 and 4,737.96 is: 6,531.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,733.60 : 9,282.74 = 4,737.96 : x
  2. Step 2: Convert to fraction form
    6,733.60/9,282.74 = 4,737.96/x
  3. Step 3: Cross multiply
    6,733.60x = 9,282.74 × 4,737.96
  4. Step 4: Simplify right side
    6,733.60x = 43,981,227.12
  5. Step 5: Solve for x
    x = 43,981,227.12/6,733.60
  6. Step 6: Final answer
    x = 6,531.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.