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Finding the Fourth Proportional to 8,447.14, 11,658.13 and 4,909.67

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Solution

The fourth proportional to 8,447.14, 11,658.13 and 4,909.67 is: 6,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.14 : 11,658.13 = 4,909.67 : x
  2. Step 2: Convert to fraction form
    8,447.14/11,658.13 = 4,909.67/x
  3. Step 3: Cross multiply
    8,447.14x = 11,658.13 × 4,909.67
  4. Step 4: Simplify right side
    8,447.14x = 57,237,571.12
  5. Step 5: Solve for x
    x = 57,237,571.12/8,447.14
  6. Step 6: Final answer
    x = 6,775.97

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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.