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Finding the Fourth Proportional to 9,873.68, 14,806.80 and 4,027.04

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Solution

The fourth proportional to 9,873.68, 14,806.80 and 4,027.04 is: 6,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.68 : 14,806.80 = 4,027.04 : x
  2. Step 2: Convert to fraction form
    9,873.68/14,806.80 = 4,027.04/x
  3. Step 3: Cross multiply
    9,873.68x = 14,806.80 × 4,027.04
  4. Step 4: Simplify right side
    9,873.68x = 59,627,575.87
  5. Step 5: Solve for x
    x = 59,627,575.87/9,873.68
  6. Step 6: Final answer
    x = 6,039.04

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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.