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Finding the Fourth Proportional to 9,687.69, 14,532.57 and 3,448.26

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Solution

The fourth proportional to 9,687.69, 14,532.57 and 3,448.26 is: 5,172.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,687.69 : 14,532.57 = 3,448.26 : x
  2. Step 2: Convert to fraction form
    9,687.69/14,532.57 = 3,448.26/x
  3. Step 3: Cross multiply
    9,687.69x = 14,532.57 × 3,448.26
  4. Step 4: Simplify right side
    9,687.69x = 50,112,079.83
  5. Step 5: Solve for x
    x = 50,112,079.83/9,687.69
  6. Step 6: Final answer
    x = 5,172.76

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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.