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Finding the Fourth Proportional to 9,660.84, 14,481.66 and 5,492.22

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Solution

The fourth proportional to 9,660.84, 14,481.66 and 5,492.22 is: 8,232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.84 : 14,481.66 = 5,492.22 : x
  2. Step 2: Convert to fraction form
    9,660.84/14,481.66 = 5,492.22/x
  3. Step 3: Cross multiply
    9,660.84x = 14,481.66 × 5,492.22
  4. Step 4: Simplify right side
    9,660.84x = 79,536,462.69
  5. Step 5: Solve for x
    x = 79,536,462.69/9,660.84
  6. Step 6: Final answer
    x = 8,232.87

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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.