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Finding the Fourth Proportional to 9,795.53, 14,691.76 and 3,221.66

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Solution

The fourth proportional to 9,795.53, 14,691.76 and 3,221.66 is: 4,831.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.53 : 14,691.76 = 3,221.66 : x
  2. Step 2: Convert to fraction form
    9,795.53/14,691.76 = 3,221.66/x
  3. Step 3: Cross multiply
    9,795.53x = 14,691.76 × 3,221.66
  4. Step 4: Simplify right side
    9,795.53x = 47,331,884.20
  5. Step 5: Solve for x
    x = 47,331,884.20/9,795.53
  6. Step 6: Final answer
    x = 4,831.99

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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.