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Finding the Fourth Proportional to 9,212.22, 13,821.02 and 2,972.10

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Solution

The fourth proportional to 9,212.22, 13,821.02 and 2,972.10 is: 4,459.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.22 : 13,821.02 = 2,972.10 : x
  2. Step 2: Convert to fraction form
    9,212.22/13,821.02 = 2,972.10/x
  3. Step 3: Cross multiply
    9,212.22x = 13,821.02 × 2,972.10
  4. Step 4: Simplify right side
    9,212.22x = 41,077,438.68
  5. Step 5: Solve for x
    x = 41,077,438.68/9,212.22
  6. Step 6: Final answer
    x = 4,459.02

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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.