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Finding the Fourth Proportional to 9,842.23, 14,761.22 and 2,820.35

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Solution

The fourth proportional to 9,842.23, 14,761.22 and 2,820.35 is: 4,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.23 : 14,761.22 = 2,820.35 : x
  2. Step 2: Convert to fraction form
    9,842.23/14,761.22 = 2,820.35/x
  3. Step 3: Cross multiply
    9,842.23x = 14,761.22 × 2,820.35
  4. Step 4: Simplify right side
    9,842.23x = 41,631,845.49
  5. Step 5: Solve for x
    x = 41,631,845.49/9,842.23
  6. Step 6: Final answer
    x = 4,229.92

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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.