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Finding the Fourth Proportional to 6,224.76, 9,337.23 and 1,842.35

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Solution

The fourth proportional to 6,224.76, 9,337.23 and 1,842.35 is: 2,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.76 : 9,337.23 = 1,842.35 : x
  2. Step 2: Convert to fraction form
    6,224.76/9,337.23 = 1,842.35/x
  3. Step 3: Cross multiply
    6,224.76x = 9,337.23 × 1,842.35
  4. Step 4: Simplify right side
    6,224.76x = 17,202,399.00
  5. Step 5: Solve for x
    x = 17,202,399.00/6,224.76
  6. Step 6: Final answer
    x = 2,763.54

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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.