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Finding the Fourth Proportional to 7,013.96, 9,679.14 and 3,989.63

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Solution

The fourth proportional to 7,013.96, 9,679.14 and 3,989.63 is: 5,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.96 : 9,679.14 = 3,989.63 : x
  2. Step 2: Convert to fraction form
    7,013.96/9,679.14 = 3,989.63/x
  3. Step 3: Cross multiply
    7,013.96x = 9,679.14 × 3,989.63
  4. Step 4: Simplify right side
    7,013.96x = 38,616,187.32
  5. Step 5: Solve for x
    x = 38,616,187.32/7,013.96
  6. Step 6: Final answer
    x = 5,505.62

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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.