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Finding the Fourth Proportional to 7,016.34, 9,683.09 and 4,033.21

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Solution

The fourth proportional to 7,016.34, 9,683.09 and 4,033.21 is: 5,566.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.34 : 9,683.09 = 4,033.21 : x
  2. Step 2: Convert to fraction form
    7,016.34/9,683.09 = 4,033.21/x
  3. Step 3: Cross multiply
    7,016.34x = 9,683.09 × 4,033.21
  4. Step 4: Simplify right side
    7,016.34x = 39,053,935.42
  5. Step 5: Solve for x
    x = 39,053,935.42/7,016.34
  6. Step 6: Final answer
    x = 5,566.14

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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.