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Finding the Fourth Proportional to 9,812.49, 13,540.89 and 5,619.93

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Solution

The fourth proportional to 9,812.49, 13,540.89 and 5,619.93 is: 7,755.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.49 : 13,540.89 = 5,619.93 : x
  2. Step 2: Convert to fraction form
    9,812.49/13,540.89 = 5,619.93/x
  3. Step 3: Cross multiply
    9,812.49x = 13,540.89 × 5,619.93
  4. Step 4: Simplify right side
    9,812.49x = 76,098,853.94
  5. Step 5: Solve for x
    x = 76,098,853.94/9,812.49
  6. Step 6: Final answer
    x = 7,755.31

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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.