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Finding the Fourth Proportional to 6,298.83, 9,451.91 and 3,487.95

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Solution

The fourth proportional to 6,298.83, 9,451.91 and 3,487.95 is: 5,233.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.83 : 9,451.91 = 3,487.95 : x
  2. Step 2: Convert to fraction form
    6,298.83/9,451.91 = 3,487.95/x
  3. Step 3: Cross multiply
    6,298.83x = 9,451.91 × 3,487.95
  4. Step 4: Simplify right side
    6,298.83x = 32,967,772.04
  5. Step 5: Solve for x
    x = 32,967,772.04/6,298.83
  6. Step 6: Final answer
    x = 5,233.95

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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.