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Finding the Fourth Proportional to 9,493.88, 14,241.02 and 3,253.86

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Solution

The fourth proportional to 9,493.88, 14,241.02 and 3,253.86 is: 4,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.88 : 14,241.02 = 3,253.86 : x
  2. Step 2: Convert to fraction form
    9,493.88/14,241.02 = 3,253.86/x
  3. Step 3: Cross multiply
    9,493.88x = 14,241.02 × 3,253.86
  4. Step 4: Simplify right side
    9,493.88x = 46,338,269.07
  5. Step 5: Solve for x
    x = 46,338,269.07/9,493.88
  6. Step 6: Final answer
    x = 4,880.86

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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.