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Finding the Fourth Proportional to 6,147.09, 9,215.46 and 5,266.17

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Solution

The fourth proportional to 6,147.09, 9,215.46 and 5,266.17 is: 7,894.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.09 : 9,215.46 = 5,266.17 : x
  2. Step 2: Convert to fraction form
    6,147.09/9,215.46 = 5,266.17/x
  3. Step 3: Cross multiply
    6,147.09x = 9,215.46 × 5,266.17
  4. Step 4: Simplify right side
    6,147.09x = 48,530,178.99
  5. Step 5: Solve for x
    x = 48,530,178.99/6,147.09
  6. Step 6: Final answer
    x = 7,894.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.