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Finding the Fourth Proportional to 6,234.16, 9,354.52 and 2,539.12

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Solution

The fourth proportional to 6,234.16, 9,354.52 and 2,539.12 is: 3,810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.16 : 9,354.52 = 2,539.12 : x
  2. Step 2: Convert to fraction form
    6,234.16/9,354.52 = 2,539.12/x
  3. Step 3: Cross multiply
    6,234.16x = 9,354.52 × 2,539.12
  4. Step 4: Simplify right side
    6,234.16x = 23,752,248.82
  5. Step 5: Solve for x
    x = 23,752,248.82/6,234.16
  6. Step 6: Final answer
    x = 3,810.02

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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.