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Finding the Fourth Proportional to 9,785.57, 14,680.65 and 3,212.15

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Solution

The fourth proportional to 9,785.57, 14,680.65 and 3,212.15 is: 4,818.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.57 : 14,680.65 = 3,212.15 : x
  2. Step 2: Convert to fraction form
    9,785.57/14,680.65 = 3,212.15/x
  3. Step 3: Cross multiply
    9,785.57x = 14,680.65 × 3,212.15
  4. Step 4: Simplify right side
    9,785.57x = 47,156,449.90
  5. Step 5: Solve for x
    x = 47,156,449.90/9,785.57
  6. Step 6: Final answer
    x = 4,818.98

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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.