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Finding the Fourth Proportional to 9,765.87, 14,644.44 and 5,819.00

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Solution

The fourth proportional to 9,765.87, 14,644.44 and 5,819.00 is: 8,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.87 : 14,644.44 = 5,819.00 : x
  2. Step 2: Convert to fraction form
    9,765.87/14,644.44 = 5,819.00/x
  3. Step 3: Cross multiply
    9,765.87x = 14,644.44 × 5,819.00
  4. Step 4: Simplify right side
    9,765.87x = 85,215,947.96
  5. Step 5: Solve for x
    x = 85,215,947.96/9,765.87
  6. Step 6: Final answer
    x = 8,725.89

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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.