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Finding the Fourth Proportional to 9,159.77, 13,739.67 and 2,585.96

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Solution

The fourth proportional to 9,159.77, 13,739.67 and 2,585.96 is: 3,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.77 : 13,739.67 = 2,585.96 : x
  2. Step 2: Convert to fraction form
    9,159.77/13,739.67 = 2,585.96/x
  3. Step 3: Cross multiply
    9,159.77x = 13,739.67 × 2,585.96
  4. Step 4: Simplify right side
    9,159.77x = 35,530,237.03
  5. Step 5: Solve for x
    x = 35,530,237.03/9,159.77
  6. Step 6: Final answer
    x = 3,878.94

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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.