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Finding the Fourth Proportional to 9,235.67, 13,853.42 and 2,310.17

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Solution

The fourth proportional to 9,235.67, 13,853.42 and 2,310.17 is: 3,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.67 : 13,853.42 = 2,310.17 : x
  2. Step 2: Convert to fraction form
    9,235.67/13,853.42 = 2,310.17/x
  3. Step 3: Cross multiply
    9,235.67x = 13,853.42 × 2,310.17
  4. Step 4: Simplify right side
    9,235.67x = 32,003,743.73
  5. Step 5: Solve for x
    x = 32,003,743.73/9,235.67
  6. Step 6: Final answer
    x = 3,465.23

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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.