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Finding the Fourth Proportional to 6,147.54, 9,224.02 and 3,225.14

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Solution

The fourth proportional to 6,147.54, 9,224.02 and 3,225.14 is: 4,839.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.54 : 9,224.02 = 3,225.14 : x
  2. Step 2: Convert to fraction form
    6,147.54/9,224.02 = 3,225.14/x
  3. Step 3: Cross multiply
    6,147.54x = 9,224.02 × 3,225.14
  4. Step 4: Simplify right side
    6,147.54x = 29,748,755.86
  5. Step 5: Solve for x
    x = 29,748,755.86/6,147.54
  6. Step 6: Final answer
    x = 4,839.13

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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.