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Finding the Fourth Proportional to 9,271.52, 13,912.74 and 3,432.20

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Solution

The fourth proportional to 9,271.52, 13,912.74 and 3,432.20 is: 5,150.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.52 : 13,912.74 = 3,432.20 : x
  2. Step 2: Convert to fraction form
    9,271.52/13,912.74 = 3,432.20/x
  3. Step 3: Cross multiply
    9,271.52x = 13,912.74 × 3,432.20
  4. Step 4: Simplify right side
    9,271.52x = 47,751,306.23
  5. Step 5: Solve for x
    x = 47,751,306.23/9,271.52
  6. Step 6: Final answer
    x = 5,150.32

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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.