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Finding the Fourth Proportional to 9,694.24, 14,542.08 and 3,538.24

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Solution

The fourth proportional to 9,694.24, 14,542.08 and 3,538.24 is: 5,307.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.24 : 14,542.08 = 3,538.24 : x
  2. Step 2: Convert to fraction form
    9,694.24/14,542.08 = 3,538.24/x
  3. Step 3: Cross multiply
    9,694.24x = 14,542.08 × 3,538.24
  4. Step 4: Simplify right side
    9,694.24x = 51,453,369.14
  5. Step 5: Solve for x
    x = 51,453,369.14/9,694.24
  6. Step 6: Final answer
    x = 5,307.62

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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.