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Finding the Fourth Proportional to 9,511.16, 14,268.16 and 3,272.78

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Solution

The fourth proportional to 9,511.16, 14,268.16 and 3,272.78 is: 4,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.16 : 14,268.16 = 3,272.78 : x
  2. Step 2: Convert to fraction form
    9,511.16/14,268.16 = 3,272.78/x
  3. Step 3: Cross multiply
    9,511.16x = 14,268.16 × 3,272.78
  4. Step 4: Simplify right side
    9,511.16x = 46,696,548.68
  5. Step 5: Solve for x
    x = 46,696,548.68/9,511.16
  6. Step 6: Final answer
    x = 4,909.66

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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.