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Finding the Fourth Proportional to 9,511.64, 13,129.67 and 8,515.13

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Solution

The fourth proportional to 9,511.64, 13,129.67 and 8,515.13 is: 11,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.64 : 13,129.67 = 8,515.13 : x
  2. Step 2: Convert to fraction form
    9,511.64/13,129.67 = 8,515.13/x
  3. Step 3: Cross multiply
    9,511.64x = 13,129.67 × 8,515.13
  4. Step 4: Simplify right side
    9,511.64x = 111,800,846.91
  5. Step 5: Solve for x
    x = 111,800,846.91/9,511.64
  6. Step 6: Final answer
    x = 11,754.11

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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.