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Finding the Fourth Proportional to 9,798.06, 14,692.46 and 3,796.95

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Solution

The fourth proportional to 9,798.06, 14,692.46 and 3,796.95 is: 5,693.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.06 : 14,692.46 = 3,796.95 : x
  2. Step 2: Convert to fraction form
    9,798.06/14,692.46 = 3,796.95/x
  3. Step 3: Cross multiply
    9,798.06x = 14,692.46 × 3,796.95
  4. Step 4: Simplify right side
    9,798.06x = 55,786,536.00
  5. Step 5: Solve for x
    x = 55,786,536.00/9,798.06
  6. Step 6: Final answer
    x = 5,693.63

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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.