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Finding the Fourth Proportional to 7,032.44, 9,704.45 and 3,845.66

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Solution

The fourth proportional to 7,032.44, 9,704.45 and 3,845.66 is: 5,306.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.44 : 9,704.45 = 3,845.66 : x
  2. Step 2: Convert to fraction form
    7,032.44/9,704.45 = 3,845.66/x
  3. Step 3: Cross multiply
    7,032.44x = 9,704.45 × 3,845.66
  4. Step 4: Simplify right side
    7,032.44x = 37,319,947.44
  5. Step 5: Solve for x
    x = 37,319,947.44/7,032.44
  6. Step 6: Final answer
    x = 5,306.83

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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.