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Finding the Fourth Proportional to 8,233.99, 12,329.11 and 6,437.14

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Solution

The fourth proportional to 8,233.99, 12,329.11 and 6,437.14 is: 9,638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.99 : 12,329.11 = 6,437.14 : x
  2. Step 2: Convert to fraction form
    8,233.99/12,329.11 = 6,437.14/x
  3. Step 3: Cross multiply
    8,233.99x = 12,329.11 × 6,437.14
  4. Step 4: Simplify right side
    8,233.99x = 79,364,207.15
  5. Step 5: Solve for x
    x = 79,364,207.15/8,233.99
  6. Step 6: Final answer
    x = 9,638.61

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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.