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Finding the Fourth Proportional to 9,643.38, 14,457.78 and 7,694.52

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Solution

The fourth proportional to 9,643.38, 14,457.78 and 7,694.52 is: 11,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.38 : 14,457.78 = 7,694.52 : x
  2. Step 2: Convert to fraction form
    9,643.38/14,457.78 = 7,694.52/x
  3. Step 3: Cross multiply
    9,643.38x = 14,457.78 × 7,694.52
  4. Step 4: Simplify right side
    9,643.38x = 111,245,677.37
  5. Step 5: Solve for x
    x = 111,245,677.37/9,643.38
  6. Step 6: Final answer
    x = 11,535.96

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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.