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Finding the Fourth Proportional to 9,747.26, 14,620.90 and 4,478.78

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Solution

The fourth proportional to 9,747.26, 14,620.90 and 4,478.78 is: 6,718.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747.26 : 14,620.90 = 4,478.78 : x
  2. Step 2: Convert to fraction form
    9,747.26/14,620.90 = 4,478.78/x
  3. Step 3: Cross multiply
    9,747.26x = 14,620.90 × 4,478.78
  4. Step 4: Simplify right side
    9,747.26x = 65,483,794.50
  5. Step 5: Solve for x
    x = 65,483,794.50/9,747.26
  6. Step 6: Final answer
    x = 6,718.17

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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.