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Finding the Fourth Proportional to 9,773.64, 14,650.02 and 3,198.06

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Solution

The fourth proportional to 9,773.64, 14,650.02 and 3,198.06 is: 4,793.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.64 : 14,650.02 = 3,198.06 : x
  2. Step 2: Convert to fraction form
    9,773.64/14,650.02 = 3,198.06/x
  3. Step 3: Cross multiply
    9,773.64x = 14,650.02 × 3,198.06
  4. Step 4: Simplify right side
    9,773.64x = 46,851,642.96
  5. Step 5: Solve for x
    x = 46,851,642.96/9,773.64
  6. Step 6: Final answer
    x = 4,793.67

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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.