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Finding the Fourth Proportional to 9,299.29, 13,974.47 and 4,919.84

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Solution

The fourth proportional to 9,299.29, 13,974.47 and 4,919.84 is: 7,393.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.29 : 13,974.47 = 4,919.84 : x
  2. Step 2: Convert to fraction form
    9,299.29/13,974.47 = 4,919.84/x
  3. Step 3: Cross multiply
    9,299.29x = 13,974.47 × 4,919.84
  4. Step 4: Simplify right side
    9,299.29x = 68,752,131.89
  5. Step 5: Solve for x
    x = 68,752,131.89/9,299.29
  6. Step 6: Final answer
    x = 7,393.27

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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.