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Finding the Fourth Proportional to 6,201.66, 8,552.26 and 4,709.64

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Solution

The fourth proportional to 6,201.66, 8,552.26 and 4,709.64 is: 6,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.66 : 8,552.26 = 4,709.64 : x
  2. Step 2: Convert to fraction form
    6,201.66/8,552.26 = 4,709.64/x
  3. Step 3: Cross multiply
    6,201.66x = 8,552.26 × 4,709.64
  4. Step 4: Simplify right side
    6,201.66x = 40,278,065.79
  5. Step 5: Solve for x
    x = 40,278,065.79/6,201.66
  6. Step 6: Final answer
    x = 6,494.72

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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.