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Finding the Fourth Proportional to 9,934.44, 13,710.83 and 6,407.90

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Solution

The fourth proportional to 9,934.44, 13,710.83 and 6,407.90 is: 8,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.44 : 13,710.83 = 6,407.90 : x
  2. Step 2: Convert to fraction form
    9,934.44/13,710.83 = 6,407.90/x
  3. Step 3: Cross multiply
    9,934.44x = 13,710.83 × 6,407.90
  4. Step 4: Simplify right side
    9,934.44x = 87,857,627.56
  5. Step 5: Solve for x
    x = 87,857,627.56/9,934.44
  6. Step 6: Final answer
    x = 8,843.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.