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Finding the Fourth Proportional to 9,377.41, 14,063.28 and 3,135.82

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Solution

The fourth proportional to 9,377.41, 14,063.28 and 3,135.82 is: 4,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.41 : 14,063.28 = 3,135.82 : x
  2. Step 2: Convert to fraction form
    9,377.41/14,063.28 = 3,135.82/x
  3. Step 3: Cross multiply
    9,377.41x = 14,063.28 × 3,135.82
  4. Step 4: Simplify right side
    9,377.41x = 44,099,914.69
  5. Step 5: Solve for x
    x = 44,099,914.69/9,377.41
  6. Step 6: Final answer
    x = 4,702.78

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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.