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Finding the Fourth Proportional to 9,097.26, 13,643.37 and 2,522.94

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Solution

The fourth proportional to 9,097.26, 13,643.37 and 2,522.94 is: 3,783.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.26 : 13,643.37 = 2,522.94 : x
  2. Step 2: Convert to fraction form
    9,097.26/13,643.37 = 2,522.94/x
  3. Step 3: Cross multiply
    9,097.26x = 13,643.37 × 2,522.94
  4. Step 4: Simplify right side
    9,097.26x = 34,421,403.91
  5. Step 5: Solve for x
    x = 34,421,403.91/9,097.26
  6. Step 6: Final answer
    x = 3,783.71

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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.