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Finding the Fourth Proportional to 9,791.24, 13,511.98 and 5,756.98

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Solution

The fourth proportional to 9,791.24, 13,511.98 and 5,756.98 is: 7,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.24 : 13,511.98 = 5,756.98 : x
  2. Step 2: Convert to fraction form
    9,791.24/13,511.98 = 5,756.98/x
  3. Step 3: Cross multiply
    9,791.24x = 13,511.98 × 5,756.98
  4. Step 4: Simplify right side
    9,791.24x = 77,788,197.37
  5. Step 5: Solve for x
    x = 77,788,197.37/9,791.24
  6. Step 6: Final answer
    x = 7,944.68

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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.