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Finding the Fourth Proportional to 6,454.37, 9,668.18 and 5,215.07

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Solution

The fourth proportional to 6,454.37, 9,668.18 and 5,215.07 is: 7,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.37 : 9,668.18 = 5,215.07 : x
  2. Step 2: Convert to fraction form
    6,454.37/9,668.18 = 5,215.07/x
  3. Step 3: Cross multiply
    6,454.37x = 9,668.18 × 5,215.07
  4. Step 4: Simplify right side
    6,454.37x = 50,420,161.06
  5. Step 5: Solve for x
    x = 50,420,161.06/6,454.37
  6. Step 6: Final answer
    x = 7,811.79

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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.