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Finding the Fourth Proportional to 6,338.46, 9,509.28 and 2,443.14

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Solution

The fourth proportional to 6,338.46, 9,509.28 and 2,443.14 is: 3,665.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.46 : 9,509.28 = 2,443.14 : x
  2. Step 2: Convert to fraction form
    6,338.46/9,509.28 = 2,443.14/x
  3. Step 3: Cross multiply
    6,338.46x = 9,509.28 × 2,443.14
  4. Step 4: Simplify right side
    6,338.46x = 23,232,502.34
  5. Step 5: Solve for x
    x = 23,232,502.34/6,338.46
  6. Step 6: Final answer
    x = 3,665.32

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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.