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Finding the Fourth Proportional to 7,027.27, 9,689.19 and 5,684.32

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Solution

The fourth proportional to 7,027.27, 9,689.19 and 5,684.32 is: 7,837.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.27 : 9,689.19 = 5,684.32 : x
  2. Step 2: Convert to fraction form
    7,027.27/9,689.19 = 5,684.32/x
  3. Step 3: Cross multiply
    7,027.27x = 9,689.19 × 5,684.32
  4. Step 4: Simplify right side
    7,027.27x = 55,076,456.50
  5. Step 5: Solve for x
    x = 55,076,456.50/7,027.27
  6. Step 6: Final answer
    x = 7,837.53

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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.