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Finding the Fourth Proportional to 9,794.63, 14,694.98 and 2,869.13

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Solution

The fourth proportional to 9,794.63, 14,694.98 and 2,869.13 is: 4,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.63 : 14,694.98 = 2,869.13 : x
  2. Step 2: Convert to fraction form
    9,794.63/14,694.98 = 2,869.13/x
  3. Step 3: Cross multiply
    9,794.63x = 14,694.98 × 2,869.13
  4. Step 4: Simplify right side
    9,794.63x = 42,161,720.15
  5. Step 5: Solve for x
    x = 42,161,720.15/9,794.63
  6. Step 6: Final answer
    x = 4,304.58

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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.