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Finding the Fourth Proportional to 6,150.34, 9,223.89 and 1,768.06

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Solution

The fourth proportional to 6,150.34, 9,223.89 and 1,768.06 is: 2,651.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.34 : 9,223.89 = 1,768.06 : x
  2. Step 2: Convert to fraction form
    6,150.34/9,223.89 = 1,768.06/x
  3. Step 3: Cross multiply
    6,150.34x = 9,223.89 × 1,768.06
  4. Step 4: Simplify right side
    6,150.34x = 16,308,390.95
  5. Step 5: Solve for x
    x = 16,308,390.95/6,150.34
  6. Step 6: Final answer
    x = 2,651.62

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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.