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Finding the Fourth Proportional to 9,517.72, 13,097.52 and 8,779

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Solution

The fourth proportional to 9,517.72, 13,097.52 and 8,779 is: 12,080.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.72 : 13,097.52 = 8,779 : x
  2. Step 2: Convert to fraction form
    9,517.72/13,097.52 = 8,779/x
  3. Step 3: Cross multiply
    9,517.72x = 13,097.52 × 8,779
  4. Step 4: Simplify right side
    9,517.72x = 114,983,128.08
  5. Step 5: Solve for x
    x = 114,983,128.08/9,517.72
  6. Step 6: Final answer
    x = 12,080.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.