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Finding the Fourth Proportional to 9,843.84, 14,767.68 and 5,460

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Solution

The fourth proportional to 9,843.84, 14,767.68 and 5,460 is: 8,191.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.84 : 14,767.68 = 5,460 : x
  2. Step 2: Convert to fraction form
    9,843.84/14,767.68 = 5,460/x
  3. Step 3: Cross multiply
    9,843.84x = 14,767.68 × 5,460
  4. Step 4: Simplify right side
    9,843.84x = 80,631,532.80
  5. Step 5: Solve for x
    x = 80,631,532.80/9,843.84
  6. Step 6: Final answer
    x = 8,191.06

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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.