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Finding the Fourth Proportional to 6,074.06, 9,109.65 and 2,785.10

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Solution

The fourth proportional to 6,074.06, 9,109.65 and 2,785.10 is: 4,176.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.06 : 9,109.65 = 2,785.10 : x
  2. Step 2: Convert to fraction form
    6,074.06/9,109.65 = 2,785.10/x
  3. Step 3: Cross multiply
    6,074.06x = 9,109.65 × 2,785.10
  4. Step 4: Simplify right side
    6,074.06x = 25,371,286.22
  5. Step 5: Solve for x
    x = 25,371,286.22/6,074.06
  6. Step 6: Final answer
    x = 4,176.99

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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.