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Finding the Fourth Proportional to 6,338.40, 9,509.22 and 2,441.76

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Solution

The fourth proportional to 6,338.40, 9,509.22 and 2,441.76 is: 3,663.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.40 : 9,509.22 = 2,441.76 : x
  2. Step 2: Convert to fraction form
    6,338.40/9,509.22 = 2,441.76/x
  3. Step 3: Cross multiply
    6,338.40x = 9,509.22 × 2,441.76
  4. Step 4: Simplify right side
    6,338.40x = 23,219,233.03
  5. Step 5: Solve for x
    x = 23,219,233.03/6,338.40
  6. Step 6: Final answer
    x = 3,663.26

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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.