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Finding the Fourth Proportional to 9,944.65, 14,916.19 and 5,782

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Solution

The fourth proportional to 9,944.65, 14,916.19 and 5,782 is: 8,672.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,944.65 : 14,916.19 = 5,782 : x
  2. Step 2: Convert to fraction form
    9,944.65/14,916.19 = 5,782/x
  3. Step 3: Cross multiply
    9,944.65x = 14,916.19 × 5,782
  4. Step 4: Simplify right side
    9,944.65x = 86,245,410.58
  5. Step 5: Solve for x
    x = 86,245,410.58/9,944.65
  6. Step 6: Final answer
    x = 8,672.54

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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.