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Finding the Fourth Proportional to 9,196.96, 13,794.36 and 2,623

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Solution

The fourth proportional to 9,196.96, 13,794.36 and 2,623 is: 3,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.96 : 13,794.36 = 2,623 : x
  2. Step 2: Convert to fraction form
    9,196.96/13,794.36 = 2,623/x
  3. Step 3: Cross multiply
    9,196.96x = 13,794.36 × 2,623
  4. Step 4: Simplify right side
    9,196.96x = 36,182,606.28
  5. Step 5: Solve for x
    x = 36,182,606.28/9,196.96
  6. Step 6: Final answer
    x = 3,934.19

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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.