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Finding the Fourth Proportional to 6,109.80, 9,164.70 and 4,449.30

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Solution

The fourth proportional to 6,109.80, 9,164.70 and 4,449.30 is: 6,673.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.80 : 9,164.70 = 4,449.30 : x
  2. Step 2: Convert to fraction form
    6,109.80/9,164.70 = 4,449.30/x
  3. Step 3: Cross multiply
    6,109.80x = 9,164.70 × 4,449.30
  4. Step 4: Simplify right side
    6,109.80x = 40,776,499.71
  5. Step 5: Solve for x
    x = 40,776,499.71/6,109.80
  6. Step 6: Final answer
    x = 6,673.95

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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.