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Finding the Fourth Proportional to 9,873.20, 14,806.20 and 2,945.36

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Solution

The fourth proportional to 9,873.20, 14,806.20 and 2,945.36 is: 4,416.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.20 : 14,806.20 = 2,945.36 : x
  2. Step 2: Convert to fraction form
    9,873.20/14,806.20 = 2,945.36/x
  3. Step 3: Cross multiply
    9,873.20x = 14,806.20 × 2,945.36
  4. Step 4: Simplify right side
    9,873.20x = 43,609,589.23
  5. Step 5: Solve for x
    x = 43,609,589.23/9,873.20
  6. Step 6: Final answer
    x = 4,416.97

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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.