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Finding the Fourth Proportional to 9,193.37, 13,791.56 and 3,646.74

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Solution

The fourth proportional to 9,193.37, 13,791.56 and 3,646.74 is: 5,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.37 : 13,791.56 = 3,646.74 : x
  2. Step 2: Convert to fraction form
    9,193.37/13,791.56 = 3,646.74/x
  3. Step 3: Cross multiply
    9,193.37x = 13,791.56 × 3,646.74
  4. Step 4: Simplify right side
    9,193.37x = 50,294,242.63
  5. Step 5: Solve for x
    x = 50,294,242.63/9,193.37
  6. Step 6: Final answer
    x = 5,470.71

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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.