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Finding the Fourth Proportional to 6,685.16, 9,221.76 and 5,190.68

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Solution

The fourth proportional to 6,685.16, 9,221.76 and 5,190.68 is: 7,160.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.16 : 9,221.76 = 5,190.68 : x
  2. Step 2: Convert to fraction form
    6,685.16/9,221.76 = 5,190.68/x
  3. Step 3: Cross multiply
    6,685.16x = 9,221.76 × 5,190.68
  4. Step 4: Simplify right side
    6,685.16x = 47,867,205.20
  5. Step 5: Solve for x
    x = 47,867,205.20/6,685.16
  6. Step 6: Final answer
    x = 7,160.22

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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.