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Finding the Fourth Proportional to 9,196.34, 13,799.07 and 3,649.55

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Solution

The fourth proportional to 9,196.34, 13,799.07 and 3,649.55 is: 5,476.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.34 : 13,799.07 = 3,649.55 : x
  2. Step 2: Convert to fraction form
    9,196.34/13,799.07 = 3,649.55/x
  3. Step 3: Cross multiply
    9,196.34x = 13,799.07 × 3,649.55
  4. Step 4: Simplify right side
    9,196.34x = 50,360,395.92
  5. Step 5: Solve for x
    x = 50,360,395.92/9,196.34
  6. Step 6: Final answer
    x = 5,476.13

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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.