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Finding the Fourth Proportional to 6,390.32, 9,575.75 and 3,791.84

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Solution

The fourth proportional to 6,390.32, 9,575.75 and 3,791.84 is: 5,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,390.32 : 9,575.75 = 3,791.84 : x
  2. Step 2: Convert to fraction form
    6,390.32/9,575.75 = 3,791.84/x
  3. Step 3: Cross multiply
    6,390.32x = 9,575.75 × 3,791.84
  4. Step 4: Simplify right side
    6,390.32x = 36,309,673.48
  5. Step 5: Solve for x
    x = 36,309,673.48/6,390.32
  6. Step 6: Final answer
    x = 5,681.98

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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.