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Finding the Fourth Proportional to 9,785.66, 14,680.76 and 3,211.44

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Solution

The fourth proportional to 9,785.66, 14,680.76 and 3,211.44 is: 4,817.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.66 : 14,680.76 = 3,211.44 : x
  2. Step 2: Convert to fraction form
    9,785.66/14,680.76 = 3,211.44/x
  3. Step 3: Cross multiply
    9,785.66x = 14,680.76 × 3,211.44
  4. Step 4: Simplify right side
    9,785.66x = 47,146,363.84
  5. Step 5: Solve for x
    x = 47,146,363.84/9,785.66
  6. Step 6: Final answer
    x = 4,817.91

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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.