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Finding the Fourth Proportional to 6,234.84, 9,345.57 and 3,108.66

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Solution

The fourth proportional to 6,234.84, 9,345.57 and 3,108.66 is: 4,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,234.84 : 9,345.57 = 3,108.66 : x
  2. Step 2: Convert to fraction form
    6,234.84/9,345.57 = 3,108.66/x
  3. Step 3: Cross multiply
    6,234.84x = 9,345.57 × 3,108.66
  4. Step 4: Simplify right side
    6,234.84x = 29,052,199.64
  5. Step 5: Solve for x
    x = 29,052,199.64/6,234.84
  6. Step 6: Final answer
    x = 4,659.65

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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.