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Finding the Fourth Proportional to 9,223.02, 13,834.40 and 2,649.18

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Solution

The fourth proportional to 9,223.02, 13,834.40 and 2,649.18 is: 3,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.02 : 13,834.40 = 2,649.18 : x
  2. Step 2: Convert to fraction form
    9,223.02/13,834.40 = 2,649.18/x
  3. Step 3: Cross multiply
    9,223.02x = 13,834.40 × 2,649.18
  4. Step 4: Simplify right side
    9,223.02x = 36,649,815.79
  5. Step 5: Solve for x
    x = 36,649,815.79/9,223.02
  6. Step 6: Final answer
    x = 3,973.73

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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.