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Finding the Fourth Proportional to 9,773.52, 14,657.17 and 3,197.94

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Solution

The fourth proportional to 9,773.52, 14,657.17 and 3,197.94 is: 4,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.52 : 14,657.17 = 3,197.94 : x
  2. Step 2: Convert to fraction form
    9,773.52/14,657.17 = 3,197.94/x
  3. Step 3: Cross multiply
    9,773.52x = 14,657.17 × 3,197.94
  4. Step 4: Simplify right side
    9,773.52x = 46,872,660.95
  5. Step 5: Solve for x
    x = 46,872,660.95/9,773.52
  6. Step 6: Final answer
    x = 4,795.89

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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.