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Finding the Fourth Proportional to 6,069.84, 9,104.77 and 1,687.30

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Solution

The fourth proportional to 6,069.84, 9,104.77 and 1,687.30 is: 2,530.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.84 : 9,104.77 = 1,687.30 : x
  2. Step 2: Convert to fraction form
    6,069.84/9,104.77 = 1,687.30/x
  3. Step 3: Cross multiply
    6,069.84x = 9,104.77 × 1,687.30
  4. Step 4: Simplify right side
    6,069.84x = 15,362,457.77
  5. Step 5: Solve for x
    x = 15,362,457.77/6,069.84
  6. Step 6: Final answer
    x = 2,530.95

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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.