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Finding the Fourth Proportional to 6,224.67, 9,339.74 and 3,302.25

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Solution

The fourth proportional to 6,224.67, 9,339.74 and 3,302.25 is: 4,954.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,224.67 : 9,339.74 = 3,302.25 : x
  2. Step 2: Convert to fraction form
    6,224.67/9,339.74 = 3,302.25/x
  3. Step 3: Cross multiply
    6,224.67x = 9,339.74 × 3,302.25
  4. Step 4: Simplify right side
    6,224.67x = 30,842,139.90
  5. Step 5: Solve for x
    x = 30,842,139.90/6,224.67
  6. Step 6: Final answer
    x = 4,954.82

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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.