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Finding the Fourth Proportional to 9,283.69, 13,930.94 and 3,737.53

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Solution

The fourth proportional to 9,283.69, 13,930.94 and 3,737.53 is: 5,608.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.69 : 13,930.94 = 3,737.53 : x
  2. Step 2: Convert to fraction form
    9,283.69/13,930.94 = 3,737.53/x
  3. Step 3: Cross multiply
    9,283.69x = 13,930.94 × 3,737.53
  4. Step 4: Simplify right side
    9,283.69x = 52,067,306.18
  5. Step 5: Solve for x
    x = 52,067,306.18/9,283.69
  6. Step 6: Final answer
    x = 5,608.47

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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.