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Finding the Fourth Proportional to 9,788.65, 14,671.59 and 4,861.42

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Solution

The fourth proportional to 9,788.65, 14,671.59 and 4,861.42 is: 7,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,788.65 : 14,671.59 = 4,861.42 : x
  2. Step 2: Convert to fraction form
    9,788.65/14,671.59 = 4,861.42/x
  3. Step 3: Cross multiply
    9,788.65x = 14,671.59 × 4,861.42
  4. Step 4: Simplify right side
    9,788.65x = 71,324,761.06
  5. Step 5: Solve for x
    x = 71,324,761.06/9,788.65
  6. Step 6: Final answer
    x = 7,286.48

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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.