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Finding the Fourth Proportional to 6,906.45, 9,534.14 and 4,072.93

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Solution

The fourth proportional to 6,906.45, 9,534.14 and 4,072.93 is: 5,622.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.45 : 9,534.14 = 4,072.93 : x
  2. Step 2: Convert to fraction form
    6,906.45/9,534.14 = 4,072.93/x
  3. Step 3: Cross multiply
    6,906.45x = 9,534.14 × 4,072.93
  4. Step 4: Simplify right side
    6,906.45x = 38,831,884.83
  5. Step 5: Solve for x
    x = 38,831,884.83/6,906.45
  6. Step 6: Final answer
    x = 5,622.55

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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.