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Finding the Fourth Proportional to 6,225.26, 9,337.88 and 1,842.37

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Solution

The fourth proportional to 6,225.26, 9,337.88 and 1,842.37 is: 2,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.26 : 9,337.88 = 1,842.37 : x
  2. Step 2: Convert to fraction form
    6,225.26/9,337.88 = 1,842.37/x
  3. Step 3: Cross multiply
    6,225.26x = 9,337.88 × 1,842.37
  4. Step 4: Simplify right side
    6,225.26x = 17,203,829.98
  5. Step 5: Solve for x
    x = 17,203,829.98/6,225.26
  6. Step 6: Final answer
    x = 2,763.55

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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.