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Finding the Fourth Proportional to 6,150.40, 9,225.72 and 3,234.40

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Solution

The fourth proportional to 6,150.40, 9,225.72 and 3,234.40 is: 4,851.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.40 : 9,225.72 = 3,234.40 : x
  2. Step 2: Convert to fraction form
    6,150.40/9,225.72 = 3,234.40/x
  3. Step 3: Cross multiply
    6,150.40x = 9,225.72 × 3,234.40
  4. Step 4: Simplify right side
    6,150.40x = 29,839,668.77
  5. Step 5: Solve for x
    x = 29,839,668.77/6,150.40
  6. Step 6: Final answer
    x = 4,851.66

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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.