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Finding the Fourth Proportional to 6,233.52, 9,352.05 and 2,538.40

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Solution

The fourth proportional to 6,233.52, 9,352.05 and 2,538.40 is: 3,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.52 : 9,352.05 = 2,538.40 : x
  2. Step 2: Convert to fraction form
    6,233.52/9,352.05 = 2,538.40/x
  3. Step 3: Cross multiply
    6,233.52x = 9,352.05 × 2,538.40
  4. Step 4: Simplify right side
    6,233.52x = 23,739,243.72
  5. Step 5: Solve for x
    x = 23,739,243.72/6,233.52
  6. Step 6: Final answer
    x = 3,808.32

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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.