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Finding the Fourth Proportional to 9,211.05, 13,801.76 and 5,511.53

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Solution

The fourth proportional to 9,211.05, 13,801.76 and 5,511.53 is: 8,258.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.05 : 13,801.76 = 5,511.53 : x
  2. Step 2: Convert to fraction form
    9,211.05/13,801.76 = 5,511.53/x
  3. Step 3: Cross multiply
    9,211.05x = 13,801.76 × 5,511.53
  4. Step 4: Simplify right side
    9,211.05x = 76,068,717.73
  5. Step 5: Solve for x
    x = 76,068,717.73/9,211.05
  6. Step 6: Final answer
    x = 8,258.42

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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.