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Finding the Fourth Proportional to 6,338.94, 9,462.68 and 5,355.90

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Solution

The fourth proportional to 6,338.94, 9,462.68 and 5,355.90 is: 7,995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.94 : 9,462.68 = 5,355.90 : x
  2. Step 2: Convert to fraction form
    6,338.94/9,462.68 = 5,355.90/x
  3. Step 3: Cross multiply
    6,338.94x = 9,462.68 × 5,355.90
  4. Step 4: Simplify right side
    6,338.94x = 50,681,141.03
  5. Step 5: Solve for x
    x = 50,681,141.03/6,338.94
  6. Step 6: Final answer
    x = 7,995.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.