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Finding the Fourth Proportional to 9,377.46, 14,060.86 and 3,824.30

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Solution

The fourth proportional to 9,377.46, 14,060.86 and 3,824.30 is: 5,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.46 : 14,060.86 = 3,824.30 : x
  2. Step 2: Convert to fraction form
    9,377.46/14,060.86 = 3,824.30/x
  3. Step 3: Cross multiply
    9,377.46x = 14,060.86 × 3,824.30
  4. Step 4: Simplify right side
    9,377.46x = 53,772,946.90
  5. Step 5: Solve for x
    x = 53,772,946.90/9,377.46
  6. Step 6: Final answer
    x = 5,734.28

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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.