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Finding the Fourth Proportional to 9,632.14, 14,448.20 and 3,476.14

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Solution

The fourth proportional to 9,632.14, 14,448.20 and 3,476.14 is: 5,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.14 : 14,448.20 = 3,476.14 : x
  2. Step 2: Convert to fraction form
    9,632.14/14,448.20 = 3,476.14/x
  3. Step 3: Cross multiply
    9,632.14x = 14,448.20 × 3,476.14
  4. Step 4: Simplify right side
    9,632.14x = 50,223,965.95
  5. Step 5: Solve for x
    x = 50,223,965.95/9,632.14
  6. Step 6: Final answer
    x = 5,214.21

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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.