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Finding the Fourth Proportional to 9,785.52, 14,676.36 and 3,212.40

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Solution

The fourth proportional to 9,785.52, 14,676.36 and 3,212.40 is: 4,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.52 : 14,676.36 = 3,212.40 : x
  2. Step 2: Convert to fraction form
    9,785.52/14,676.36 = 3,212.40/x
  3. Step 3: Cross multiply
    9,785.52x = 14,676.36 × 3,212.40
  4. Step 4: Simplify right side
    9,785.52x = 47,146,338.86
  5. Step 5: Solve for x
    x = 47,146,338.86/9,785.52
  6. Step 6: Final answer
    x = 4,817.97

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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.