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Finding the Fourth Proportional to 9,202.42, 13,786.27 and 5,442.98

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Solution

The fourth proportional to 9,202.42, 13,786.27 and 5,442.98 is: 8,154.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.42 : 13,786.27 = 5,442.98 : x
  2. Step 2: Convert to fraction form
    9,202.42/13,786.27 = 5,442.98/x
  3. Step 3: Cross multiply
    9,202.42x = 13,786.27 × 5,442.98
  4. Step 4: Simplify right side
    9,202.42x = 75,038,391.88
  5. Step 5: Solve for x
    x = 75,038,391.88/9,202.42
  6. Step 6: Final answer
    x = 8,154.20

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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.