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Finding the Fourth Proportional to 9,850.69, 14,793.65 and 9,454.30

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Solution

The fourth proportional to 9,850.69, 14,793.65 and 9,454.30 is: 14,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.69 : 14,793.65 = 9,454.30 : x
  2. Step 2: Convert to fraction form
    9,850.69/14,793.65 = 9,454.30/x
  3. Step 3: Cross multiply
    9,850.69x = 14,793.65 × 9,454.30
  4. Step 4: Simplify right side
    9,850.69x = 139,863,605.20
  5. Step 5: Solve for x
    x = 139,863,605.20/9,850.69
  6. Step 6: Final answer
    x = 14,198.36

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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.