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Finding the Fourth Proportional to 9,649.50, 13,316.31 and 5,233.50

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Solution

The fourth proportional to 9,649.50, 13,316.31 and 5,233.50 is: 7,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.50 : 13,316.31 = 5,233.50 : x
  2. Step 2: Convert to fraction form
    9,649.50/13,316.31 = 5,233.50/x
  3. Step 3: Cross multiply
    9,649.50x = 13,316.31 × 5,233.50
  4. Step 4: Simplify right side
    9,649.50x = 69,690,908.39
  5. Step 5: Solve for x
    x = 69,690,908.39/9,649.50
  6. Step 6: Final answer
    x = 7,222.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.