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Finding the Fourth Proportional to 7,007.31, 9,670.19 and 3,863.57

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Solution

The fourth proportional to 7,007.31, 9,670.19 and 3,863.57 is: 5,331.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.31 : 9,670.19 = 3,863.57 : x
  2. Step 2: Convert to fraction form
    7,007.31/9,670.19 = 3,863.57/x
  3. Step 3: Cross multiply
    7,007.31x = 9,670.19 × 3,863.57
  4. Step 4: Simplify right side
    7,007.31x = 37,361,388.31
  5. Step 5: Solve for x
    x = 37,361,388.31/7,007.31
  6. Step 6: Final answer
    x = 5,331.77

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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.