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Finding the Fourth Proportional to 9,795.68, 14,695.64 and 3,221.72

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Solution

The fourth proportional to 9,795.68, 14,695.64 and 3,221.72 is: 4,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.68 : 14,695.64 = 3,221.72 : x
  2. Step 2: Convert to fraction form
    9,795.68/14,695.64 = 3,221.72/x
  3. Step 3: Cross multiply
    9,795.68x = 14,695.64 × 3,221.72
  4. Step 4: Simplify right side
    9,795.68x = 47,345,171.88
  5. Step 5: Solve for x
    x = 47,345,171.88/9,795.68
  6. Step 6: Final answer
    x = 4,833.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.