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Finding the Fourth Proportional to 6,395.99, 9,542.54 and 5,694.30

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Solution

The fourth proportional to 6,395.99, 9,542.54 and 5,694.30 is: 8,495.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.99 : 9,542.54 = 5,694.30 : x
  2. Step 2: Convert to fraction form
    6,395.99/9,542.54 = 5,694.30/x
  3. Step 3: Cross multiply
    6,395.99x = 9,542.54 × 5,694.30
  4. Step 4: Simplify right side
    6,395.99x = 54,338,099.76
  5. Step 5: Solve for x
    x = 54,338,099.76/6,395.99
  6. Step 6: Final answer
    x = 8,495.66

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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.