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Finding the Fourth Proportional to 9,777.21, 14,674.02 and 4,234.80

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Solution

The fourth proportional to 9,777.21, 14,674.02 and 4,234.80 is: 6,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.21 : 14,674.02 = 4,234.80 : x
  2. Step 2: Convert to fraction form
    9,777.21/14,674.02 = 4,234.80/x
  3. Step 3: Cross multiply
    9,777.21x = 14,674.02 × 4,234.80
  4. Step 4: Simplify right side
    9,777.21x = 62,141,539.90
  5. Step 5: Solve for x
    x = 62,141,539.90/9,777.21
  6. Step 6: Final answer
    x = 6,355.75

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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.