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Finding the Fourth Proportional to 9,480.40, 14,221.12 and 3,634.32

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Solution

The fourth proportional to 9,480.40, 14,221.12 and 3,634.32 is: 5,451.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.40 : 14,221.12 = 3,634.32 : x
  2. Step 2: Convert to fraction form
    9,480.40/14,221.12 = 3,634.32/x
  3. Step 3: Cross multiply
    9,480.40x = 14,221.12 × 3,634.32
  4. Step 4: Simplify right side
    9,480.40x = 51,684,100.84
  5. Step 5: Solve for x
    x = 51,684,100.84/9,480.40
  6. Step 6: Final answer
    x = 5,451.68

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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.