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Finding the Fourth Proportional to 7,016.63, 9,694.82 and 5,429.75

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Solution

The fourth proportional to 7,016.63, 9,694.82 and 5,429.75 is: 7,502.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,016.63 : 9,694.82 = 5,429.75 : x
  2. Step 2: Convert to fraction form
    7,016.63/9,694.82 = 5,429.75/x
  3. Step 3: Cross multiply
    7,016.63x = 9,694.82 × 5,429.75
  4. Step 4: Simplify right side
    7,016.63x = 52,640,421.75
  5. Step 5: Solve for x
    x = 52,640,421.75/7,016.63
  6. Step 6: Final answer
    x = 7,502.24

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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.