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Finding the Fourth Proportional to 6,832, 9,419.52 and 5,060.64

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Solution

The fourth proportional to 6,832, 9,419.52 and 5,060.64 is: 6,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832 : 9,419.52 = 5,060.64 : x
  2. Step 2: Convert to fraction form
    6,832/9,419.52 = 5,060.64/x
  3. Step 3: Cross multiply
    6,832x = 9,419.52 × 5,060.64
  4. Step 4: Simplify right side
    6,832x = 47,668,799.69
  5. Step 5: Solve for x
    x = 47,668,799.69/6,832
  6. Step 6: Final answer
    x = 6,977.28

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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.