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Finding the Fourth Proportional to 9,223.07, 13,814.96 and 4,827.20

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Solution

The fourth proportional to 9,223.07, 13,814.96 and 4,827.20 is: 7,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.07 : 13,814.96 = 4,827.20 : x
  2. Step 2: Convert to fraction form
    9,223.07/13,814.96 = 4,827.20/x
  3. Step 3: Cross multiply
    9,223.07x = 13,814.96 × 4,827.20
  4. Step 4: Simplify right side
    9,223.07x = 66,687,481.70
  5. Step 5: Solve for x
    x = 66,687,481.70/9,223.07
  6. Step 6: Final answer
    x = 7,230.51

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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.