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Finding the Fourth Proportional to 7,016.35, 9,682.62 and 3,829.67

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Solution

The fourth proportional to 7,016.35, 9,682.62 and 3,829.67 is: 5,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.35 : 9,682.62 = 3,829.67 : x
  2. Step 2: Convert to fraction form
    7,016.35/9,682.62 = 3,829.67/x
  3. Step 3: Cross multiply
    7,016.35x = 9,682.62 × 3,829.67
  4. Step 4: Simplify right side
    7,016.35x = 37,081,239.34
  5. Step 5: Solve for x
    x = 37,081,239.34/7,016.35
  6. Step 6: Final answer
    x = 5,284.98

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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.