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Finding the Fourth Proportional to 9,302.70, 13,954.18 and 2,377.20

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Solution

The fourth proportional to 9,302.70, 13,954.18 and 2,377.20 is: 3,565.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.70 : 13,954.18 = 2,377.20 : x
  2. Step 2: Convert to fraction form
    9,302.70/13,954.18 = 2,377.20/x
  3. Step 3: Cross multiply
    9,302.70x = 13,954.18 × 2,377.20
  4. Step 4: Simplify right side
    9,302.70x = 33,171,876.70
  5. Step 5: Solve for x
    x = 33,171,876.70/9,302.70
  6. Step 6: Final answer
    x = 3,565.83

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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.