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Finding the Fourth Proportional to 9,223.80, 13,834.35 and 2,649.30

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Solution

The fourth proportional to 9,223.80, 13,834.35 and 2,649.30 is: 3,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.80 : 13,834.35 = 2,649.30 : x
  2. Step 2: Convert to fraction form
    9,223.80/13,834.35 = 2,649.30/x
  3. Step 3: Cross multiply
    9,223.80x = 13,834.35 × 2,649.30
  4. Step 4: Simplify right side
    9,223.80x = 36,651,343.46
  5. Step 5: Solve for x
    x = 36,651,343.46/9,223.80
  6. Step 6: Final answer
    x = 3,973.56

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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.