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Finding the Fourth Proportional to 9,469.76, 13,068.68 and 5,278

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Solution

The fourth proportional to 9,469.76, 13,068.68 and 5,278 is: 7,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,469.76 : 13,068.68 = 5,278 : x
  2. Step 2: Convert to fraction form
    9,469.76/13,068.68 = 5,278/x
  3. Step 3: Cross multiply
    9,469.76x = 13,068.68 × 5,278
  4. Step 4: Simplify right side
    9,469.76x = 68,976,493.04
  5. Step 5: Solve for x
    x = 68,976,493.04/9,469.76
  6. Step 6: Final answer
    x = 7,283.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.