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Finding the Fourth Proportional to 9,097.37, 13,644.53 and 2,524.22

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Solution

The fourth proportional to 9,097.37, 13,644.53 and 2,524.22 is: 3,785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.37 : 13,644.53 = 2,524.22 : x
  2. Step 2: Convert to fraction form
    9,097.37/13,644.53 = 2,524.22/x
  3. Step 3: Cross multiply
    9,097.37x = 13,644.53 × 2,524.22
  4. Step 4: Simplify right side
    9,097.37x = 34,441,795.52
  5. Step 5: Solve for x
    x = 34,441,795.52/9,097.37
  6. Step 6: Final answer
    x = 3,785.91

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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.