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Finding the Fourth Proportional to 9,774.06, 14,657.77 and 3,198.61

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Solution

The fourth proportional to 9,774.06, 14,657.77 and 3,198.61 is: 4,796.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.06 : 14,657.77 = 3,198.61 : x
  2. Step 2: Convert to fraction form
    9,774.06/14,657.77 = 3,198.61/x
  3. Step 3: Cross multiply
    9,774.06x = 14,657.77 × 3,198.61
  4. Step 4: Simplify right side
    9,774.06x = 46,884,489.70
  5. Step 5: Solve for x
    x = 46,884,489.70/9,774.06
  6. Step 6: Final answer
    x = 4,796.83

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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.