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Finding the Fourth Proportional to 9,764.82, 13,474.62 and 5,732.10

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Solution

The fourth proportional to 9,764.82, 13,474.62 and 5,732.10 is: 7,909.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,764.82 : 13,474.62 = 5,732.10 : x
  2. Step 2: Convert to fraction form
    9,764.82/13,474.62 = 5,732.10/x
  3. Step 3: Cross multiply
    9,764.82x = 13,474.62 × 5,732.10
  4. Step 4: Simplify right side
    9,764.82x = 77,237,869.30
  5. Step 5: Solve for x
    x = 77,237,869.30/9,764.82
  6. Step 6: Final answer
    x = 7,909.81

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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.