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Finding the Fourth Proportional to 8,974.89, 13,455.61 and 6,193.62

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Solution

The fourth proportional to 8,974.89, 13,455.61 and 6,193.62 is: 9,285.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.89 : 13,455.61 = 6,193.62 : x
  2. Step 2: Convert to fraction form
    8,974.89/13,455.61 = 6,193.62/x
  3. Step 3: Cross multiply
    8,974.89x = 13,455.61 × 6,193.62
  4. Step 4: Simplify right side
    8,974.89x = 83,338,935.21
  5. Step 5: Solve for x
    x = 83,338,935.21/8,974.89
  6. Step 6: Final answer
    x = 9,285.79

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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.