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Finding the Fourth Proportional to 7,084.04, 9,754.38 and 5,591.43

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Solution

The fourth proportional to 7,084.04, 9,754.38 and 5,591.43 is: 7,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.04 : 9,754.38 = 5,591.43 : x
  2. Step 2: Convert to fraction form
    7,084.04/9,754.38 = 5,591.43/x
  3. Step 3: Cross multiply
    7,084.04x = 9,754.38 × 5,591.43
  4. Step 4: Simplify right side
    7,084.04x = 54,540,932.96
  5. Step 5: Solve for x
    x = 54,540,932.96/7,084.04
  6. Step 6: Final answer
    x = 7,699.13

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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.