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Finding the Fourth Proportional to 9,464.50, 14,197.02 and 2,539

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Solution

The fourth proportional to 9,464.50, 14,197.02 and 2,539 is: 3,808.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.50 : 14,197.02 = 2,539 : x
  2. Step 2: Convert to fraction form
    9,464.50/14,197.02 = 2,539/x
  3. Step 3: Cross multiply
    9,464.50x = 14,197.02 × 2,539
  4. Step 4: Simplify right side
    9,464.50x = 36,046,233.78
  5. Step 5: Solve for x
    x = 36,046,233.78/9,464.50
  6. Step 6: Final answer
    x = 3,808.57

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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.