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Finding the Fourth Proportional to 9,777.24, 14,669.22 and 3,204.60

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Solution

The fourth proportional to 9,777.24, 14,669.22 and 3,204.60 is: 4,808.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.24 : 14,669.22 = 3,204.60 : x
  2. Step 2: Convert to fraction form
    9,777.24/14,669.22 = 3,204.60/x
  3. Step 3: Cross multiply
    9,777.24x = 14,669.22 × 3,204.60
  4. Step 4: Simplify right side
    9,777.24x = 47,008,982.41
  5. Step 5: Solve for x
    x = 47,008,982.41/9,777.24
  6. Step 6: Final answer
    x = 4,808.00

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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.