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Finding the Fourth Proportional to 9,777.12, 14,662.78 and 4,229.12

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Solution

The fourth proportional to 9,777.12, 14,662.78 and 4,229.12 is: 6,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.12 : 14,662.78 = 4,229.12 : x
  2. Step 2: Convert to fraction form
    9,777.12/14,662.78 = 4,229.12/x
  3. Step 3: Cross multiply
    9,777.12x = 14,662.78 × 4,229.12
  4. Step 4: Simplify right side
    9,777.12x = 62,010,656.15
  5. Step 5: Solve for x
    x = 62,010,656.15/9,777.12
  6. Step 6: Final answer
    x = 6,342.43

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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.