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Finding the Fourth Proportional to 6,424.33, 8,868.54 and 4,069.66

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Solution

The fourth proportional to 6,424.33, 8,868.54 and 4,069.66 is: 5,618.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.33 : 8,868.54 = 4,069.66 : x
  2. Step 2: Convert to fraction form
    6,424.33/8,868.54 = 4,069.66/x
  3. Step 3: Cross multiply
    6,424.33x = 8,868.54 × 4,069.66
  4. Step 4: Simplify right side
    6,424.33x = 36,091,942.50
  5. Step 5: Solve for x
    x = 36,091,942.50/6,424.33
  6. Step 6: Final answer
    x = 5,618.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.