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Finding the Fourth Proportional to 6,196.87, 9,298.61 and 2,909.99

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Solution

The fourth proportional to 6,196.87, 9,298.61 and 2,909.99 is: 4,366.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.87 : 9,298.61 = 2,909.99 : x
  2. Step 2: Convert to fraction form
    6,196.87/9,298.61 = 2,909.99/x
  3. Step 3: Cross multiply
    6,196.87x = 9,298.61 × 2,909.99
  4. Step 4: Simplify right side
    6,196.87x = 27,058,862.11
  5. Step 5: Solve for x
    x = 27,058,862.11/6,196.87
  6. Step 6: Final answer
    x = 4,366.54

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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.