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Finding the Fourth Proportional to 6,906.02, 9,530.19 and 3,762.18

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Solution

The fourth proportional to 6,906.02, 9,530.19 and 3,762.18 is: 5,191.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.02 : 9,530.19 = 3,762.18 : x
  2. Step 2: Convert to fraction form
    6,906.02/9,530.19 = 3,762.18/x
  3. Step 3: Cross multiply
    6,906.02x = 9,530.19 × 3,762.18
  4. Step 4: Simplify right side
    6,906.02x = 35,854,290.21
  5. Step 5: Solve for x
    x = 35,854,290.21/6,906.02
  6. Step 6: Final answer
    x = 5,191.75

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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.