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Finding the Fourth Proportional to 6,100.82, 9,131.16 and 4,631.88

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Solution

The fourth proportional to 6,100.82, 9,131.16 and 4,631.88 is: 6,932.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.82 : 9,131.16 = 4,631.88 : x
  2. Step 2: Convert to fraction form
    6,100.82/9,131.16 = 4,631.88/x
  3. Step 3: Cross multiply
    6,100.82x = 9,131.16 × 4,631.88
  4. Step 4: Simplify right side
    6,100.82x = 42,294,437.38
  5. Step 5: Solve for x
    x = 42,294,437.38/6,100.82
  6. Step 6: Final answer
    x = 6,932.58

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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.