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Finding the Fourth Proportional to 9,494.77, 14,242.15 and 4,228.42

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Solution

The fourth proportional to 9,494.77, 14,242.15 and 4,228.42 is: 6,342.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.77 : 14,242.15 = 4,228.42 : x
  2. Step 2: Convert to fraction form
    9,494.77/14,242.15 = 4,228.42/x
  3. Step 3: Cross multiply
    9,494.77x = 14,242.15 × 4,228.42
  4. Step 4: Simplify right side
    9,494.77x = 60,221,791.90
  5. Step 5: Solve for x
    x = 60,221,791.90/9,494.77
  6. Step 6: Final answer
    x = 6,342.63

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Similar ratio
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1.5x scale

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.