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Finding the Fourth Proportional to 6,606.84, 9,911.70 and 3,144.36

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Solution

The fourth proportional to 6,606.84, 9,911.70 and 3,144.36 is: 4,717.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.84 : 9,911.70 = 3,144.36 : x
  2. Step 2: Convert to fraction form
    6,606.84/9,911.70 = 3,144.36/x
  3. Step 3: Cross multiply
    6,606.84x = 9,911.70 × 3,144.36
  4. Step 4: Simplify right side
    6,606.84x = 31,165,953.01
  5. Step 5: Solve for x
    x = 31,165,953.01/6,606.84
  6. Step 6: Final answer
    x = 4,717.23

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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.