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Finding the Fourth Proportional to 7,024.25, 9,692.61 and 3,880.46

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Solution

The fourth proportional to 7,024.25, 9,692.61 and 3,880.46 is: 5,354.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.25 : 9,692.61 = 3,880.46 : x
  2. Step 2: Convert to fraction form
    7,024.25/9,692.61 = 3,880.46/x
  3. Step 3: Cross multiply
    7,024.25x = 9,692.61 × 3,880.46
  4. Step 4: Simplify right side
    7,024.25x = 37,611,785.40
  5. Step 5: Solve for x
    x = 37,611,785.40/7,024.25
  6. Step 6: Final answer
    x = 5,354.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.