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Finding the Fourth Proportional to 9,171.54, 13,757.96 and 4,495.46

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Solution

The fourth proportional to 9,171.54, 13,757.96 and 4,495.46 is: 6,743.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.54 : 13,757.96 = 4,495.46 : x
  2. Step 2: Convert to fraction form
    9,171.54/13,757.96 = 4,495.46/x
  3. Step 3: Cross multiply
    9,171.54x = 13,757.96 × 4,495.46
  4. Step 4: Simplify right side
    9,171.54x = 61,848,358.86
  5. Step 5: Solve for x
    x = 61,848,358.86/9,171.54
  6. Step 6: Final answer
    x = 6,743.51

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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.