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Finding the Fourth Proportional to 9,634.86, 13,297.64 and 5,859.23

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Solution

The fourth proportional to 9,634.86, 13,297.64 and 5,859.23 is: 8,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.86 : 13,297.64 = 5,859.23 : x
  2. Step 2: Convert to fraction form
    9,634.86/13,297.64 = 5,859.23/x
  3. Step 3: Cross multiply
    9,634.86x = 13,297.64 × 5,859.23
  4. Step 4: Simplify right side
    9,634.86x = 77,913,835.43
  5. Step 5: Solve for x
    x = 77,913,835.43/9,634.86
  6. Step 6: Final answer
    x = 8,086.66

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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.