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Finding the Fourth Proportional to 9,213.56, 13,821.66 and 2,971.56

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Solution

The fourth proportional to 9,213.56, 13,821.66 and 2,971.56 is: 4,457.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.56 : 13,821.66 = 2,971.56 : x
  2. Step 2: Convert to fraction form
    9,213.56/13,821.66 = 2,971.56/x
  3. Step 3: Cross multiply
    9,213.56x = 13,821.66 × 2,971.56
  4. Step 4: Simplify right side
    9,213.56x = 41,071,891.99
  5. Step 5: Solve for x
    x = 41,071,891.99/9,213.56
  6. Step 6: Final answer
    x = 4,457.77

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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.