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Finding the Fourth Proportional to 6,396.66, 9,561.24 and 5,557.14

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Solution

The fourth proportional to 6,396.66, 9,561.24 and 5,557.14 is: 8,306.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,396.66 : 9,561.24 = 5,557.14 : x
  2. Step 2: Convert to fraction form
    6,396.66/9,561.24 = 5,557.14/x
  3. Step 3: Cross multiply
    6,396.66x = 9,561.24 × 5,557.14
  4. Step 4: Simplify right side
    6,396.66x = 53,133,149.25
  5. Step 5: Solve for x
    x = 53,133,149.25/6,396.66
  6. Step 6: Final answer
    x = 8,306.39

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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.