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Finding the Fourth Proportional to 6,071.70, 9,108.66 and 2,785.14

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Solution

The fourth proportional to 6,071.70, 9,108.66 and 2,785.14 is: 4,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.70 : 9,108.66 = 2,785.14 : x
  2. Step 2: Convert to fraction form
    6,071.70/9,108.66 = 2,785.14/x
  3. Step 3: Cross multiply
    6,071.70x = 9,108.66 × 2,785.14
  4. Step 4: Simplify right side
    6,071.70x = 25,368,893.31
  5. Step 5: Solve for x
    x = 25,368,893.31/6,071.70
  6. Step 6: Final answer
    x = 4,178.22

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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.