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Finding the Fourth Proportional to 9,494.88, 14,242.52 and 3,254.86

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Solution

The fourth proportional to 9,494.88, 14,242.52 and 3,254.86 is: 4,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.88 : 14,242.52 = 3,254.86 : x
  2. Step 2: Convert to fraction form
    9,494.88/14,242.52 = 3,254.86/x
  3. Step 3: Cross multiply
    9,494.88x = 14,242.52 × 3,254.86
  4. Step 4: Simplify right side
    9,494.88x = 46,357,408.65
  5. Step 5: Solve for x
    x = 46,357,408.65/9,494.88
  6. Step 6: Final answer
    x = 4,882.36

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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.