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Finding the Fourth Proportional to 6,357.44, 8,767.72 and 4,767.66

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Solution

The fourth proportional to 6,357.44, 8,767.72 and 4,767.66 is: 6,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.44 : 8,767.72 = 4,767.66 : x
  2. Step 2: Convert to fraction form
    6,357.44/8,767.72 = 4,767.66/x
  3. Step 3: Cross multiply
    6,357.44x = 8,767.72 × 4,767.66
  4. Step 4: Simplify right side
    6,357.44x = 41,801,507.94
  5. Step 5: Solve for x
    x = 41,801,507.94/6,357.44
  6. Step 6: Final answer
    x = 6,575.21

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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.