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Finding the Fourth Proportional to 6,357.98, 9,536.97 and 2,462.38

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Solution

The fourth proportional to 6,357.98, 9,536.97 and 2,462.38 is: 3,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.98 : 9,536.97 = 2,462.38 : x
  2. Step 2: Convert to fraction form
    6,357.98/9,536.97 = 2,462.38/x
  3. Step 3: Cross multiply
    6,357.98x = 9,536.97 × 2,462.38
  4. Step 4: Simplify right side
    6,357.98x = 23,483,644.19
  5. Step 5: Solve for x
    x = 23,483,644.19/6,357.98
  6. Step 6: Final answer
    x = 3,693.57

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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.