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Finding the Fourth Proportional to 9,772.86, 13,486.22 and 5,791.61

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Solution

The fourth proportional to 9,772.86, 13,486.22 and 5,791.61 is: 7,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.86 : 13,486.22 = 5,791.61 : x
  2. Step 2: Convert to fraction form
    9,772.86/13,486.22 = 5,791.61/x
  3. Step 3: Cross multiply
    9,772.86x = 13,486.22 × 5,791.61
  4. Step 4: Simplify right side
    9,772.86x = 78,106,931.37
  5. Step 5: Solve for x
    x = 78,106,931.37/9,772.86
  6. Step 6: Final answer
    x = 7,992.23

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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.