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Finding the Fourth Proportional to 9,568.59, 13,207.41 and 5,791.77

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Solution

The fourth proportional to 9,568.59, 13,207.41 and 5,791.77 is: 7,994.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.59 : 13,207.41 = 5,791.77 : x
  2. Step 2: Convert to fraction form
    9,568.59/13,207.41 = 5,791.77/x
  3. Step 3: Cross multiply
    9,568.59x = 13,207.41 × 5,791.77
  4. Step 4: Simplify right side
    9,568.59x = 76,494,281.02
  5. Step 5: Solve for x
    x = 76,494,281.02/9,568.59
  6. Step 6: Final answer
    x = 7,994.31

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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.