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Finding the Fourth Proportional to 9,196.34, 13,803.17 and 4,816.88

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Solution

The fourth proportional to 9,196.34, 13,803.17 and 4,816.88 is: 7,229.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.34 : 13,803.17 = 4,816.88 : x
  2. Step 2: Convert to fraction form
    9,196.34/13,803.17 = 4,816.88/x
  3. Step 3: Cross multiply
    9,196.34x = 13,803.17 × 4,816.88
  4. Step 4: Simplify right side
    9,196.34x = 66,488,156.54
  5. Step 5: Solve for x
    x = 66,488,156.54/9,196.34
  6. Step 6: Final answer
    x = 7,229.85

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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.