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Finding the Fourth Proportional to 7,007.82, 9,670.30 and 3,863.94

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Solution

The fourth proportional to 7,007.82, 9,670.30 and 3,863.94 is: 5,331.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.82 : 9,670.30 = 3,863.94 : x
  2. Step 2: Convert to fraction form
    7,007.82/9,670.30 = 3,863.94/x
  3. Step 3: Cross multiply
    7,007.82x = 9,670.30 × 3,863.94
  4. Step 4: Simplify right side
    7,007.82x = 37,365,449.32
  5. Step 5: Solve for x
    x = 37,365,449.32/7,007.82
  6. Step 6: Final answer
    x = 5,331.96

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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.