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Finding the Fourth Proportional to 6,750.68, 9,314.28 and 4,234.04

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Solution

The fourth proportional to 6,750.68, 9,314.28 and 4,234.04 is: 5,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.68 : 9,314.28 = 4,234.04 : x
  2. Step 2: Convert to fraction form
    6,750.68/9,314.28 = 4,234.04/x
  3. Step 3: Cross multiply
    6,750.68x = 9,314.28 × 4,234.04
  4. Step 4: Simplify right side
    6,750.68x = 39,437,034.09
  5. Step 5: Solve for x
    x = 39,437,034.09/6,750.68
  6. Step 6: Final answer
    x = 5,841.94

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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.