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Finding the Fourth Proportional to 9,674.26, 13,350.22 and 5,695.54

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Solution

The fourth proportional to 9,674.26, 13,350.22 and 5,695.54 is: 7,859.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.26 : 13,350.22 = 5,695.54 : x
  2. Step 2: Convert to fraction form
    9,674.26/13,350.22 = 5,695.54/x
  3. Step 3: Cross multiply
    9,674.26x = 13,350.22 × 5,695.54
  4. Step 4: Simplify right side
    9,674.26x = 76,036,712.02
  5. Step 5: Solve for x
    x = 76,036,712.02/9,674.26
  6. Step 6: Final answer
    x = 7,859.69

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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.