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Finding the Fourth Proportional to 9,797.79, 14,693.55 and 3,222.42

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Solution

The fourth proportional to 9,797.79, 14,693.55 and 3,222.42 is: 4,832.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.79 : 14,693.55 = 3,222.42 : x
  2. Step 2: Convert to fraction form
    9,797.79/14,693.55 = 3,222.42/x
  3. Step 3: Cross multiply
    9,797.79x = 14,693.55 × 3,222.42
  4. Step 4: Simplify right side
    9,797.79x = 47,348,789.39
  5. Step 5: Solve for x
    x = 47,348,789.39/9,797.79
  6. Step 6: Final answer
    x = 4,832.60

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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.