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Finding the Fourth Proportional to 9,859.92, 14,789.82 and 2,464.34

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Solution

The fourth proportional to 9,859.92, 14,789.82 and 2,464.34 is: 3,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.92 : 14,789.82 = 2,464.34 : x
  2. Step 2: Convert to fraction form
    9,859.92/14,789.82 = 2,464.34/x
  3. Step 3: Cross multiply
    9,859.92x = 14,789.82 × 2,464.34
  4. Step 4: Simplify right side
    9,859.92x = 36,447,145.02
  5. Step 5: Solve for x
    x = 36,447,145.02/9,859.92
  6. Step 6: Final answer
    x = 3,696.50

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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.