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Finding the Fourth Proportional to 6,155.84, 9,222.82 and 3,523.24

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Solution

The fourth proportional to 6,155.84, 9,222.82 and 3,523.24 is: 5,278.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.84 : 9,222.82 = 3,523.24 : x
  2. Step 2: Convert to fraction form
    6,155.84/9,222.82 = 3,523.24/x
  3. Step 3: Cross multiply
    6,155.84x = 9,222.82 × 3,523.24
  4. Step 4: Simplify right side
    6,155.84x = 32,494,208.34
  5. Step 5: Solve for x
    x = 32,494,208.34/6,155.84
  6. Step 6: Final answer
    x = 5,278.60

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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.