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Finding the Fourth Proportional to 9,791.66, 13,513.56 and 5,813.76

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Solution

The fourth proportional to 9,791.66, 13,513.56 and 5,813.76 is: 8,023.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.66 : 13,513.56 = 5,813.76 : x
  2. Step 2: Convert to fraction form
    9,791.66/13,513.56 = 5,813.76/x
  3. Step 3: Cross multiply
    9,791.66x = 13,513.56 × 5,813.76
  4. Step 4: Simplify right side
    9,791.66x = 78,564,594.59
  5. Step 5: Solve for x
    x = 78,564,594.59/9,791.66
  6. Step 6: Final answer
    x = 8,023.62

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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.