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Finding the Fourth Proportional to 9,311.84, 13,969.82 and 3,073.78

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Solution

The fourth proportional to 9,311.84, 13,969.82 and 3,073.78 is: 4,611.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.84 : 13,969.82 = 3,073.78 : x
  2. Step 2: Convert to fraction form
    9,311.84/13,969.82 = 3,073.78/x
  3. Step 3: Cross multiply
    9,311.84x = 13,969.82 × 3,073.78
  4. Step 4: Simplify right side
    9,311.84x = 42,940,153.32
  5. Step 5: Solve for x
    x = 42,940,153.32/9,311.84
  6. Step 6: Final answer
    x = 4,611.35

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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.