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Finding the Fourth Proportional to 9,076.72, 13,591.32 and 5,946.88

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Solution

The fourth proportional to 9,076.72, 13,591.32 and 5,946.88 is: 8,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.72 : 13,591.32 = 5,946.88 : x
  2. Step 2: Convert to fraction form
    9,076.72/13,591.32 = 5,946.88/x
  3. Step 3: Cross multiply
    9,076.72x = 13,591.32 × 5,946.88
  4. Step 4: Simplify right side
    9,076.72x = 80,825,949.08
  5. Step 5: Solve for x
    x = 80,825,949.08/9,076.72
  6. Step 6: Final answer
    x = 8,904.75

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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.