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Finding the Fourth Proportional to 6,750.20, 9,315.07 and 4,233.74

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Solution

The fourth proportional to 6,750.20, 9,315.07 and 4,233.74 is: 5,842.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.20 : 9,315.07 = 4,233.74 : x
  2. Step 2: Convert to fraction form
    6,750.20/9,315.07 = 4,233.74/x
  3. Step 3: Cross multiply
    6,750.20x = 9,315.07 × 4,233.74
  4. Step 4: Simplify right side
    6,750.20x = 39,437,527.30
  5. Step 5: Solve for x
    x = 39,437,527.30/6,750.20
  6. Step 6: Final answer
    x = 5,842.42

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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.