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Finding the Fourth Proportional to 9,068.57, 13,589.88 and 5,164.91

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Solution

The fourth proportional to 9,068.57, 13,589.88 and 5,164.91 is: 7,739.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,068.57 : 13,589.88 = 5,164.91 : x
  2. Step 2: Convert to fraction form
    9,068.57/13,589.88 = 5,164.91/x
  3. Step 3: Cross multiply
    9,068.57x = 13,589.88 × 5,164.91
  4. Step 4: Simplify right side
    9,068.57x = 70,190,439.16
  5. Step 5: Solve for x
    x = 70,190,439.16/9,068.57
  6. Step 6: Final answer
    x = 7,739.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.