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Finding the Fourth Proportional to 9,709.00, 14,532.17 and 5,022.56

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Solution

The fourth proportional to 9,709.00, 14,532.17 and 5,022.56 is: 7,517.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.00 : 14,532.17 = 5,022.56 : x
  2. Step 2: Convert to fraction form
    9,709.00/14,532.17 = 5,022.56/x
  3. Step 3: Cross multiply
    9,709.00x = 14,532.17 × 5,022.56
  4. Step 4: Simplify right side
    9,709.00x = 72,988,645.07
  5. Step 5: Solve for x
    x = 72,988,645.07/9,709.00
  6. Step 6: Final answer
    x = 7,517.63

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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.