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Finding the Fourth Proportional to 9,647.50, 14,471.24 and 6,336.66

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Solution

The fourth proportional to 9,647.50, 14,471.24 and 6,336.66 is: 9,504.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,647.50 : 14,471.24 = 6,336.66 : x
  2. Step 2: Convert to fraction form
    9,647.50/14,471.24 = 6,336.66/x
  3. Step 3: Cross multiply
    9,647.50x = 14,471.24 × 6,336.66
  4. Step 4: Simplify right side
    9,647.50x = 91,699,327.66
  5. Step 5: Solve for x
    x = 91,699,327.66/9,647.50
  6. Step 6: Final answer
    x = 9,504.98

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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.