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Finding the Fourth Proportional to 9,633.56, 13,299.01 and 7,475.27

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Solution

The fourth proportional to 9,633.56, 13,299.01 and 7,475.27 is: 10,319.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.56 : 13,299.01 = 7,475.27 : x
  2. Step 2: Convert to fraction form
    9,633.56/13,299.01 = 7,475.27/x
  3. Step 3: Cross multiply
    9,633.56x = 13,299.01 × 7,475.27
  4. Step 4: Simplify right side
    9,633.56x = 99,413,605.30
  5. Step 5: Solve for x
    x = 99,413,605.30/9,633.56
  6. Step 6: Final answer
    x = 10,319.51

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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.