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Finding the Fourth Proportional to 9,179.42, 13,737.78 and 6,369.17

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Solution

The fourth proportional to 9,179.42, 13,737.78 and 6,369.17 is: 9,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.42 : 13,737.78 = 6,369.17 : x
  2. Step 2: Convert to fraction form
    9,179.42/13,737.78 = 6,369.17/x
  3. Step 3: Cross multiply
    9,179.42x = 13,737.78 × 6,369.17
  4. Step 4: Simplify right side
    9,179.42x = 87,498,187.55
  5. Step 5: Solve for x
    x = 87,498,187.55/9,179.42
  6. Step 6: Final answer
    x = 9,532.00

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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.