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Finding the Fourth Proportional to 6,644.30, 9,165.76 and 5,069.66

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Solution

The fourth proportional to 6,644.30, 9,165.76 and 5,069.66 is: 6,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.30 : 9,165.76 = 5,069.66 : x
  2. Step 2: Convert to fraction form
    6,644.30/9,165.76 = 5,069.66/x
  3. Step 3: Cross multiply
    6,644.30x = 9,165.76 × 5,069.66
  4. Step 4: Simplify right side
    6,644.30x = 46,467,228.34
  5. Step 5: Solve for x
    x = 46,467,228.34/6,644.30
  6. Step 6: Final answer
    x = 6,993.55

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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.