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Finding the Fourth Proportional to 9,822, 14,713.29 and 4,876.68

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Solution

The fourth proportional to 9,822, 14,713.29 and 4,876.68 is: 7,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822 : 14,713.29 = 4,876.68 : x
  2. Step 2: Convert to fraction form
    9,822/14,713.29 = 4,876.68/x
  3. Step 3: Cross multiply
    9,822x = 14,713.29 × 4,876.68
  4. Step 4: Simplify right side
    9,822x = 71,752,007.08
  5. Step 5: Solve for x
    x = 71,752,007.08/9,822
  6. Step 6: Final answer
    x = 7,305.23

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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.