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Finding the Fourth Proportional to 6,152.34, 9,212.13 and 3,224.52

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Solution

The fourth proportional to 6,152.34, 9,212.13 and 3,224.52 is: 4,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.34 : 9,212.13 = 3,224.52 : x
  2. Step 2: Convert to fraction form
    6,152.34/9,212.13 = 3,224.52/x
  3. Step 3: Cross multiply
    6,152.34x = 9,212.13 × 3,224.52
  4. Step 4: Simplify right side
    6,152.34x = 29,704,697.43
  5. Step 5: Solve for x
    x = 29,704,697.43/6,152.34
  6. Step 6: Final answer
    x = 4,828.20

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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.