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Finding the Fourth Proportional to 9,767.69, 14,650.92 and 4,217.13

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Solution

The fourth proportional to 9,767.69, 14,650.92 and 4,217.13 is: 6,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.69 : 14,650.92 = 4,217.13 : x
  2. Step 2: Convert to fraction form
    9,767.69/14,650.92 = 4,217.13/x
  3. Step 3: Cross multiply
    9,767.69x = 14,650.92 × 4,217.13
  4. Step 4: Simplify right side
    9,767.69x = 61,784,834.26
  5. Step 5: Solve for x
    x = 61,784,834.26/9,767.69
  6. Step 6: Final answer
    x = 6,325.43

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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.