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Finding the Fourth Proportional to 9,742, 14,613.84 and 2,817.04

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Solution

The fourth proportional to 9,742, 14,613.84 and 2,817.04 is: 4,225.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 14,613.84 = 2,817.04 : x
  2. Step 2: Convert to fraction form
    9,742/14,613.84 = 2,817.04/x
  3. Step 3: Cross multiply
    9,742x = 14,613.84 × 2,817.04
  4. Step 4: Simplify right side
    9,742x = 41,167,771.83
  5. Step 5: Solve for x
    x = 41,167,771.83/9,742
  6. Step 6: Final answer
    x = 4,225.80

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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.