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Finding the Fourth Proportional to 9,222.70, 13,834.08 and 2,297.20

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Solution

The fourth proportional to 9,222.70, 13,834.08 and 2,297.20 is: 3,445.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,222.70 : 13,834.08 = 2,297.20 : x
  2. Step 2: Convert to fraction form
    9,222.70/13,834.08 = 2,297.20/x
  3. Step 3: Cross multiply
    9,222.70x = 13,834.08 × 2,297.20
  4. Step 4: Simplify right side
    9,222.70x = 31,779,648.58
  5. Step 5: Solve for x
    x = 31,779,648.58/9,222.70
  6. Step 6: Final answer
    x = 3,445.81

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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.