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Finding the Fourth Proportional to 9,650.09, 14,474.15 and 6,550.02

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Solution

The fourth proportional to 9,650.09, 14,474.15 and 6,550.02 is: 9,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.09 : 14,474.15 = 6,550.02 : x
  2. Step 2: Convert to fraction form
    9,650.09/14,474.15 = 6,550.02/x
  3. Step 3: Cross multiply
    9,650.09x = 14,474.15 × 6,550.02
  4. Step 4: Simplify right side
    9,650.09x = 94,805,971.98
  5. Step 5: Solve for x
    x = 94,805,971.98/9,650.09
  6. Step 6: Final answer
    x = 9,824.36

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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.