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Finding the Fourth Proportional to 9,234.66, 13,851.52 and 3,390.82

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Solution

The fourth proportional to 9,234.66, 13,851.52 and 3,390.82 is: 5,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.66 : 13,851.52 = 3,390.82 : x
  2. Step 2: Convert to fraction form
    9,234.66/13,851.52 = 3,390.82/x
  3. Step 3: Cross multiply
    9,234.66x = 13,851.52 × 3,390.82
  4. Step 4: Simplify right side
    9,234.66x = 46,968,011.05
  5. Step 5: Solve for x
    x = 46,968,011.05/9,234.66
  6. Step 6: Final answer
    x = 5,086.06

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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.