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Finding the Fourth Proportional to 6,173.46, 9,260.16 and 2,069.46

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Solution

The fourth proportional to 6,173.46, 9,260.16 and 2,069.46 is: 3,104.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.46 : 9,260.16 = 2,069.46 : x
  2. Step 2: Convert to fraction form
    6,173.46/9,260.16 = 2,069.46/x
  3. Step 3: Cross multiply
    6,173.46x = 9,260.16 × 2,069.46
  4. Step 4: Simplify right side
    6,173.46x = 19,163,530.71
  5. Step 5: Solve for x
    x = 19,163,530.71/6,173.46
  6. Step 6: Final answer
    x = 3,104.18

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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.