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Finding the Fourth Proportional to 9,773.86, 14,651.85 and 3,532.42

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Solution

The fourth proportional to 9,773.86, 14,651.85 and 3,532.42 is: 5,295.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.86 : 14,651.85 = 3,532.42 : x
  2. Step 2: Convert to fraction form
    9,773.86/14,651.85 = 3,532.42/x
  3. Step 3: Cross multiply
    9,773.86x = 14,651.85 × 3,532.42
  4. Step 4: Simplify right side
    9,773.86x = 51,756,487.98
  5. Step 5: Solve for x
    x = 51,756,487.98/9,773.86
  6. Step 6: Final answer
    x = 5,295.40

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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.