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Finding the Fourth Proportional to 9,522.60, 13,138.01 and 5,542.87

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Solution

The fourth proportional to 9,522.60, 13,138.01 and 5,542.87 is: 7,647.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.60 : 13,138.01 = 5,542.87 : x
  2. Step 2: Convert to fraction form
    9,522.60/13,138.01 = 5,542.87/x
  3. Step 3: Cross multiply
    9,522.60x = 13,138.01 × 5,542.87
  4. Step 4: Simplify right side
    9,522.60x = 72,822,220.93
  5. Step 5: Solve for x
    x = 72,822,220.93/9,522.60
  6. Step 6: Final answer
    x = 7,647.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.