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Finding the Fourth Proportional to 9,759.72, 14,635.98 and 3,184.68

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Solution

The fourth proportional to 9,759.72, 14,635.98 and 3,184.68 is: 4,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.72 : 14,635.98 = 3,184.68 : x
  2. Step 2: Convert to fraction form
    9,759.72/14,635.98 = 3,184.68/x
  3. Step 3: Cross multiply
    9,759.72x = 14,635.98 × 3,184.68
  4. Step 4: Simplify right side
    9,759.72x = 46,610,912.79
  5. Step 5: Solve for x
    x = 46,610,912.79/9,759.72
  6. Step 6: Final answer
    x = 4,775.85

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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.