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Finding the Fourth Proportional to 6,964.92, 9,603.36 and 5,701.32

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Solution

The fourth proportional to 6,964.92, 9,603.36 and 5,701.32 is: 7,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.92 : 9,603.36 = 5,701.32 : x
  2. Step 2: Convert to fraction form
    6,964.92/9,603.36 = 5,701.32/x
  3. Step 3: Cross multiply
    6,964.92x = 9,603.36 × 5,701.32
  4. Step 4: Simplify right side
    6,964.92x = 54,751,828.44
  5. Step 5: Solve for x
    x = 54,751,828.44/6,964.92
  6. Step 6: Final answer
    x = 7,861.09

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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.