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Finding the Fourth Proportional to 9,076.02, 13,613.42 and 2,412.02

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Solution

The fourth proportional to 9,076.02, 13,613.42 and 2,412.02 is: 3,617.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.02 : 13,613.42 = 2,412.02 : x
  2. Step 2: Convert to fraction form
    9,076.02/13,613.42 = 2,412.02/x
  3. Step 3: Cross multiply
    9,076.02x = 13,613.42 × 2,412.02
  4. Step 4: Simplify right side
    9,076.02x = 32,835,841.31
  5. Step 5: Solve for x
    x = 32,835,841.31/9,076.02
  6. Step 6: Final answer
    x = 3,617.87

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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.