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Finding the Fourth Proportional to 9,842.72, 14,762.05 and 2,821.17

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Solution

The fourth proportional to 9,842.72, 14,762.05 and 2,821.17 is: 4,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.72 : 14,762.05 = 2,821.17 : x
  2. Step 2: Convert to fraction form
    9,842.72/14,762.05 = 2,821.17/x
  3. Step 3: Cross multiply
    9,842.72x = 14,762.05 × 2,821.17
  4. Step 4: Simplify right side
    9,842.72x = 41,646,286.17
  5. Step 5: Solve for x
    x = 41,646,286.17/9,842.72
  6. Step 6: Final answer
    x = 4,231.18

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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.