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Finding the Fourth Proportional to 9,901.44, 14,854.14 and 3,239.82

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Solution

The fourth proportional to 9,901.44, 14,854.14 and 3,239.82 is: 4,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.44 : 14,854.14 = 3,239.82 : x
  2. Step 2: Convert to fraction form
    9,901.44/14,854.14 = 3,239.82/x
  3. Step 3: Cross multiply
    9,901.44x = 14,854.14 × 3,239.82
  4. Step 4: Simplify right side
    9,901.44x = 48,124,739.85
  5. Step 5: Solve for x
    x = 48,124,739.85/9,901.44
  6. Step 6: Final answer
    x = 4,860.38

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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.