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Finding the Fourth Proportional to 7,016.15, 9,682.34 and 3,829.47

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Solution

The fourth proportional to 7,016.15, 9,682.34 and 3,829.47 is: 5,284.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.15 : 9,682.34 = 3,829.47 : x
  2. Step 2: Convert to fraction form
    7,016.15/9,682.34 = 3,829.47/x
  3. Step 3: Cross multiply
    7,016.15x = 9,682.34 × 3,829.47
  4. Step 4: Simplify right side
    7,016.15x = 37,078,211.41
  5. Step 5: Solve for x
    x = 37,078,211.41/7,016.15
  6. Step 6: Final answer
    x = 5,284.70

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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.