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Finding the Fourth Proportional to 9,817.57, 13,548.89 and 5,568.63

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Solution

The fourth proportional to 9,817.57, 13,548.89 and 5,568.63 is: 7,685.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,817.57 : 13,548.89 = 5,568.63 : x
  2. Step 2: Convert to fraction form
    9,817.57/13,548.89 = 5,568.63/x
  3. Step 3: Cross multiply
    9,817.57x = 13,548.89 × 5,568.63
  4. Step 4: Simplify right side
    9,817.57x = 75,448,755.32
  5. Step 5: Solve for x
    x = 75,448,755.32/9,817.57
  6. Step 6: Final answer
    x = 7,685.07

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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.