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Finding the Fourth Proportional to 6,154.84, 9,221.32 and 3,522.24

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Solution

The fourth proportional to 6,154.84, 9,221.32 and 3,522.24 is: 5,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.84 : 9,221.32 = 3,522.24 : x
  2. Step 2: Convert to fraction form
    6,154.84/9,221.32 = 3,522.24/x
  3. Step 3: Cross multiply
    6,154.84x = 9,221.32 × 3,522.24
  4. Step 4: Simplify right side
    6,154.84x = 32,479,706.56
  5. Step 5: Solve for x
    x = 32,479,706.56/6,154.84
  6. Step 6: Final answer
    x = 5,277.10

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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.