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Finding the Fourth Proportional to 9,494.99, 14,242.43 and 3,872.64

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Solution

The fourth proportional to 9,494.99, 14,242.43 and 3,872.64 is: 5,808.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.99 : 14,242.43 = 3,872.64 : x
  2. Step 2: Convert to fraction form
    9,494.99/14,242.43 = 3,872.64/x
  3. Step 3: Cross multiply
    9,494.99x = 14,242.43 × 3,872.64
  4. Step 4: Simplify right side
    9,494.99x = 55,155,784.75
  5. Step 5: Solve for x
    x = 55,155,784.75/9,494.99
  6. Step 6: Final answer
    x = 5,808.94

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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.