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Finding the Fourth Proportional to 9,302.80, 13,954.12 and 2,377.28

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Solution

The fourth proportional to 9,302.80, 13,954.12 and 2,377.28 is: 3,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.80 : 13,954.12 = 2,377.28 : x
  2. Step 2: Convert to fraction form
    9,302.80/13,954.12 = 2,377.28/x
  3. Step 3: Cross multiply
    9,302.80x = 13,954.12 × 2,377.28
  4. Step 4: Simplify right side
    9,302.80x = 33,172,850.39
  5. Step 5: Solve for x
    x = 33,172,850.39/9,302.80
  6. Step 6: Final answer
    x = 3,565.90

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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.