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Finding the Fourth Proportional to 9,097.35, 13,649.36 and 3,833.68

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Solution

The fourth proportional to 9,097.35, 13,649.36 and 3,833.68 is: 5,751.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.35 : 13,649.36 = 3,833.68 : x
  2. Step 2: Convert to fraction form
    9,097.35/13,649.36 = 3,833.68/x
  3. Step 3: Cross multiply
    9,097.35x = 13,649.36 × 3,833.68
  4. Step 4: Simplify right side
    9,097.35x = 52,327,278.44
  5. Step 5: Solve for x
    x = 52,327,278.44/9,097.35
  6. Step 6: Final answer
    x = 5,751.93

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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.