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Finding the Fourth Proportional to 9,840.12, 14,761.08 and 2,820.12

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Solution

The fourth proportional to 9,840.12, 14,761.08 and 2,820.12 is: 4,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.12 : 14,761.08 = 2,820.12 : x
  2. Step 2: Convert to fraction form
    9,840.12/14,761.08 = 2,820.12/x
  3. Step 3: Cross multiply
    9,840.12x = 14,761.08 × 2,820.12
  4. Step 4: Simplify right side
    9,840.12x = 41,628,016.93
  5. Step 5: Solve for x
    x = 41,628,016.93/9,840.12
  6. Step 6: Final answer
    x = 4,230.44

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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.