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Finding the Fourth Proportional to 9,265.10, 13,899 and 2,690.42

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Solution

The fourth proportional to 9,265.10, 13,899 and 2,690.42 is: 4,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,265.10 : 13,899 = 2,690.42 : x
  2. Step 2: Convert to fraction form
    9,265.10/13,899 = 2,690.42/x
  3. Step 3: Cross multiply
    9,265.10x = 13,899 × 2,690.42
  4. Step 4: Simplify right side
    9,265.10x = 37,394,147.58
  5. Step 5: Solve for x
    x = 37,394,147.58/9,265.10
  6. Step 6: Final answer
    x = 4,036.02

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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.