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Finding the Fourth Proportional to 9,860.86, 14,791.29 and 5,252.86

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Solution

The fourth proportional to 9,860.86, 14,791.29 and 5,252.86 is: 7,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,860.86 : 14,791.29 = 5,252.86 : x
  2. Step 2: Convert to fraction form
    9,860.86/14,791.29 = 5,252.86/x
  3. Step 3: Cross multiply
    9,860.86x = 14,791.29 × 5,252.86
  4. Step 4: Simplify right side
    9,860.86x = 77,696,575.59
  5. Step 5: Solve for x
    x = 77,696,575.59/9,860.86
  6. Step 6: Final answer
    x = 7,879.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.