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Finding the Fourth Proportional to 6,071.94, 9,108.42 and 1,689.44

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Solution

The fourth proportional to 6,071.94, 9,108.42 and 1,689.44 is: 2,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.94 : 9,108.42 = 1,689.44 : x
  2. Step 2: Convert to fraction form
    6,071.94/9,108.42 = 1,689.44/x
  3. Step 3: Cross multiply
    6,071.94x = 9,108.42 × 1,689.44
  4. Step 4: Simplify right side
    6,071.94x = 15,388,129.08
  5. Step 5: Solve for x
    x = 15,388,129.08/6,071.94
  6. Step 6: Final answer
    x = 2,534.30

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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.