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Finding the Fourth Proportional to 9,249.37, 12,764.08 and 5,216.63

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Solution

The fourth proportional to 9,249.37, 12,764.08 and 5,216.63 is: 7,198.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.37 : 12,764.08 = 5,216.63 : x
  2. Step 2: Convert to fraction form
    9,249.37/12,764.08 = 5,216.63/x
  3. Step 3: Cross multiply
    9,249.37x = 12,764.08 × 5,216.63
  4. Step 4: Simplify right side
    9,249.37x = 66,585,482.65
  5. Step 5: Solve for x
    x = 66,585,482.65/9,249.37
  6. Step 6: Final answer
    x = 7,198.92

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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.