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Finding the Fourth Proportional to 9,196.34, 13,797.74 and 3,929.11

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Solution

The fourth proportional to 9,196.34, 13,797.74 and 3,929.11 is: 5,895.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.34 : 13,797.74 = 3,929.11 : x
  2. Step 2: Convert to fraction form
    9,196.34/13,797.74 = 3,929.11/x
  3. Step 3: Cross multiply
    9,196.34x = 13,797.74 × 3,929.11
  4. Step 4: Simplify right side
    9,196.34x = 54,212,813.54
  5. Step 5: Solve for x
    x = 54,212,813.54/9,196.34
  6. Step 6: Final answer
    x = 5,895.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.