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Finding the Fourth Proportional to 9,522.26, 13,137.53 and 5,542.53

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Solution

The fourth proportional to 9,522.26, 13,137.53 and 5,542.53 is: 7,646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.26 : 13,137.53 = 5,542.53 : x
  2. Step 2: Convert to fraction form
    9,522.26/13,137.53 = 5,542.53/x
  3. Step 3: Cross multiply
    9,522.26x = 13,137.53 × 5,542.53
  4. Step 4: Simplify right side
    9,522.26x = 72,815,088.46
  5. Step 5: Solve for x
    x = 72,815,088.46/9,522.26
  6. Step 6: Final answer
    x = 7,646.83

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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.