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Finding the Fourth Proportional to 6,442.22, 9,668.79 and 3,522.57

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Solution

The fourth proportional to 6,442.22, 9,668.79 and 3,522.57 is: 5,286.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.22 : 9,668.79 = 3,522.57 : x
  2. Step 2: Convert to fraction form
    6,442.22/9,668.79 = 3,522.57/x
  3. Step 3: Cross multiply
    6,442.22x = 9,668.79 × 3,522.57
  4. Step 4: Simplify right side
    6,442.22x = 34,058,989.59
  5. Step 5: Solve for x
    x = 34,058,989.59/6,442.22
  6. Step 6: Final answer
    x = 5,286.84

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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.