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Finding the Fourth Proportional to 9,742, 14,606.46 and 4,814.80

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Solution

The fourth proportional to 9,742, 14,606.46 and 4,814.80 is: 7,218.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 14,606.46 = 4,814.80 : x
  2. Step 2: Convert to fraction form
    9,742/14,606.46 = 4,814.80/x
  3. Step 3: Cross multiply
    9,742x = 14,606.46 × 4,814.80
  4. Step 4: Simplify right side
    9,742x = 70,327,183.61
  5. Step 5: Solve for x
    x = 70,327,183.61/9,742
  6. Step 6: Final answer
    x = 7,218.97

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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.