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Finding the Fourth Proportional to 9,707.67, 13,398.03 and 5,933.03

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Solution

The fourth proportional to 9,707.67, 13,398.03 and 5,933.03 is: 8,188.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.67 : 13,398.03 = 5,933.03 : x
  2. Step 2: Convert to fraction form
    9,707.67/13,398.03 = 5,933.03/x
  3. Step 3: Cross multiply
    9,707.67x = 13,398.03 × 5,933.03
  4. Step 4: Simplify right side
    9,707.67x = 79,490,846.94
  5. Step 5: Solve for x
    x = 79,490,846.94/9,707.67
  6. Step 6: Final answer
    x = 8,188.46

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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.