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Finding the Fourth Proportional to 7,016.34, 9,684.20 and 4,033.90

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Solution

The fourth proportional to 7,016.34, 9,684.20 and 4,033.90 is: 5,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.34 : 9,684.20 = 4,033.90 : x
  2. Step 2: Convert to fraction form
    7,016.34/9,684.20 = 4,033.90/x
  3. Step 3: Cross multiply
    7,016.34x = 9,684.20 × 4,033.90
  4. Step 4: Simplify right side
    7,016.34x = 39,065,116.57
  5. Step 5: Solve for x
    x = 39,065,116.57/7,016.34
  6. Step 6: Final answer
    x = 5,567.74

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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.