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Finding the Fourth Proportional to 9,089.83, 13,614.76 and 7,511.95

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Solution

The fourth proportional to 9,089.83, 13,614.76 and 7,511.95 is: 11,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.83 : 13,614.76 = 7,511.95 : x
  2. Step 2: Convert to fraction form
    9,089.83/13,614.76 = 7,511.95/x
  3. Step 3: Cross multiply
    9,089.83x = 13,614.76 × 7,511.95
  4. Step 4: Simplify right side
    9,089.83x = 102,273,396.38
  5. Step 5: Solve for x
    x = 102,273,396.38/9,089.83
  6. Step 6: Final answer
    x = 11,251.41

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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.