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Finding the Fourth Proportional to 9,766.98, 14,645.91 and 4,834.69

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Solution

The fourth proportional to 9,766.98, 14,645.91 and 4,834.69 is: 7,249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,766.98 : 14,645.91 = 4,834.69 : x
  2. Step 2: Convert to fraction form
    9,766.98/14,645.91 = 4,834.69/x
  3. Step 3: Cross multiply
    9,766.98x = 14,645.91 × 4,834.69
  4. Step 4: Simplify right side
    9,766.98x = 70,808,416.13
  5. Step 5: Solve for x
    x = 70,808,416.13/9,766.98
  6. Step 6: Final answer
    x = 7,249.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.