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Finding the Fourth Proportional to 6,147.52, 9,225.04 and 2,252.32

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Solution

The fourth proportional to 6,147.52, 9,225.04 and 2,252.32 is: 3,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.52 : 9,225.04 = 2,252.32 : x
  2. Step 2: Convert to fraction form
    6,147.52/9,225.04 = 2,252.32/x
  3. Step 3: Cross multiply
    6,147.52x = 9,225.04 × 2,252.32
  4. Step 4: Simplify right side
    6,147.52x = 20,777,742.09
  5. Step 5: Solve for x
    x = 20,777,742.09/6,147.52
  6. Step 6: Final answer
    x = 3,379.86

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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.