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Finding the Fourth Proportional to 6,196.92, 9,288.18 and 2,298.84

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Solution

The fourth proportional to 6,196.92, 9,288.18 and 2,298.84 is: 3,445.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.92 : 9,288.18 = 2,298.84 : x
  2. Step 2: Convert to fraction form
    6,196.92/9,288.18 = 2,298.84/x
  3. Step 3: Cross multiply
    6,196.92x = 9,288.18 × 2,298.84
  4. Step 4: Simplify right side
    6,196.92x = 21,352,039.71
  5. Step 5: Solve for x
    x = 21,352,039.71/6,196.92
  6. Step 6: Final answer
    x = 3,445.59

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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.