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Finding the Fourth Proportional to 9,219.84, 12,727.04 and 6,234.24

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Solution

The fourth proportional to 9,219.84, 12,727.04 and 6,234.24 is: 8,605.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.84 : 12,727.04 = 6,234.24 : x
  2. Step 2: Convert to fraction form
    9,219.84/12,727.04 = 6,234.24/x
  3. Step 3: Cross multiply
    9,219.84x = 12,727.04 × 6,234.24
  4. Step 4: Simplify right side
    9,219.84x = 79,343,421.85
  5. Step 5: Solve for x
    x = 79,343,421.85/9,219.84
  6. Step 6: Final answer
    x = 8,605.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.