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Finding the Fourth Proportional to 9,619.92, 13,270.14 and 5,640.26

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Solution

The fourth proportional to 9,619.92, 13,270.14 and 5,640.26 is: 7,780.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,619.92 : 13,270.14 = 5,640.26 : x
  2. Step 2: Convert to fraction form
    9,619.92/13,270.14 = 5,640.26/x
  3. Step 3: Cross multiply
    9,619.92x = 13,270.14 × 5,640.26
  4. Step 4: Simplify right side
    9,619.92x = 74,846,973.49
  5. Step 5: Solve for x
    x = 74,846,973.49/9,619.92
  6. Step 6: Final answer
    x = 7,780.42

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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.