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Finding the Fourth Proportional to 27,396.96, 41,097.28 and 9,625.46

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Solution

The fourth proportional to 27,396.96, 41,097.28 and 9,625.46 is: 14,438.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,396.96 : 41,097.28 = 9,625.46 : x
  2. Step 2: Convert to fraction form
    27,396.96/41,097.28 = 9,625.46/x
  3. Step 3: Cross multiply
    27,396.96x = 41,097.28 × 9,625.46
  4. Step 4: Simplify right side
    27,396.96x = 395,580,224.75
  5. Step 5: Solve for x
    x = 395,580,224.75/27,396.96
  6. Step 6: Final answer
    x = 14,438.84

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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.