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Finding the Fourth Proportional to 9,742, 14,613.08 and 2,816.56

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Solution

The fourth proportional to 9,742, 14,613.08 and 2,816.56 is: 4,224.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742 : 14,613.08 = 2,816.56 : x
  2. Step 2: Convert to fraction form
    9,742/14,613.08 = 2,816.56/x
  3. Step 3: Cross multiply
    9,742x = 14,613.08 × 2,816.56
  4. Step 4: Simplify right side
    9,742x = 41,158,616.60
  5. Step 5: Solve for x
    x = 41,158,616.60/9,742
  6. Step 6: Final answer
    x = 4,224.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.