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Finding the Fourth Proportional to 9,452.78, 14,082.16 and 9,026.31

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Solution

The fourth proportional to 9,452.78, 14,082.16 and 9,026.31 is: 13,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.78 : 14,082.16 = 9,026.31 : x
  2. Step 2: Convert to fraction form
    9,452.78/14,082.16 = 9,026.31/x
  3. Step 3: Cross multiply
    9,452.78x = 14,082.16 × 9,026.31
  4. Step 4: Simplify right side
    9,452.78x = 127,109,919.06
  5. Step 5: Solve for x
    x = 127,109,919.06/9,452.78
  6. Step 6: Final answer
    x = 13,446.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.