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Finding the Fourth Proportional to 6,905.07, 10,361.93 and 6,462.27

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Solution

The fourth proportional to 6,905.07, 10,361.93 and 6,462.27 is: 9,697.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.07 : 10,361.93 = 6,462.27 : x
  2. Step 2: Convert to fraction form
    6,905.07/10,361.93 = 6,462.27/x
  3. Step 3: Cross multiply
    6,905.07x = 10,361.93 × 6,462.27
  4. Step 4: Simplify right side
    6,905.07x = 66,961,557.07
  5. Step 5: Solve for x
    x = 66,961,557.07/6,905.07
  6. Step 6: Final answer
    x = 9,697.45

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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.