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Finding the Fourth Proportional to 6,225.75, 9,337.05 and 1,842.21

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Solution

The fourth proportional to 6,225.75, 9,337.05 and 1,842.21 is: 2,762.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.75 : 9,337.05 = 1,842.21 : x
  2. Step 2: Convert to fraction form
    6,225.75/9,337.05 = 1,842.21/x
  3. Step 3: Cross multiply
    6,225.75x = 9,337.05 × 1,842.21
  4. Step 4: Simplify right side
    6,225.75x = 17,200,806.88
  5. Step 5: Solve for x
    x = 17,200,806.88/6,225.75
  6. Step 6: Final answer
    x = 2,762.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.