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Finding the Fourth Proportional to 6,914.75, 9,543.08 and 4,262.09

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Solution

The fourth proportional to 6,914.75, 9,543.08 and 4,262.09 is: 5,882.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.75 : 9,543.08 = 4,262.09 : x
  2. Step 2: Convert to fraction form
    6,914.75/9,543.08 = 4,262.09/x
  3. Step 3: Cross multiply
    6,914.75x = 9,543.08 × 4,262.09
  4. Step 4: Simplify right side
    6,914.75x = 40,673,444.53
  5. Step 5: Solve for x
    x = 40,673,444.53/6,914.75
  6. Step 6: Final answer
    x = 5,882.13

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