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Finding the Fourth Proportional to 6,109.58, 9,164.88 and 1,727.08

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Solution

The fourth proportional to 6,109.58, 9,164.88 and 1,727.08 is: 2,590.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.58 : 9,164.88 = 1,727.08 : x
  2. Step 2: Convert to fraction form
    6,109.58/9,164.88 = 1,727.08/x
  3. Step 3: Cross multiply
    6,109.58x = 9,164.88 × 1,727.08
  4. Step 4: Simplify right side
    6,109.58x = 15,828,458.04
  5. Step 5: Solve for x
    x = 15,828,458.04/6,109.58
  6. Step 6: Final answer
    x = 2,590.76

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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.