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Finding the Fourth Proportional to 6,106.92, 9,153.64 and 3,996.01

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Solution

The fourth proportional to 6,106.92, 9,153.64 and 3,996.01 is: 5,989.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.92 : 9,153.64 = 3,996.01 : x
  2. Step 2: Convert to fraction form
    6,106.92/9,153.64 = 3,996.01/x
  3. Step 3: Cross multiply
    6,106.92x = 9,153.64 × 3,996.01
  4. Step 4: Simplify right side
    6,106.92x = 36,578,036.98
  5. Step 5: Solve for x
    x = 36,578,036.98/6,106.92
  6. Step 6: Final answer
    x = 5,989.60

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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.