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Finding the Fourth Proportional to 6,111.59, 9,169.98 and 4,139.44

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Solution

The fourth proportional to 6,111.59, 9,169.98 and 4,139.44 is: 6,210.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,111.59 : 9,169.98 = 4,139.44 : x
  2. Step 2: Convert to fraction form
    6,111.59/9,169.98 = 4,139.44/x
  3. Step 3: Cross multiply
    6,111.59x = 9,169.98 × 4,139.44
  4. Step 4: Simplify right side
    6,111.59x = 37,958,515.46
  5. Step 5: Solve for x
    x = 37,958,515.46/6,111.59
  6. Step 6: Final answer
    x = 6,210.91

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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.