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Finding the Fourth Proportional to 7,023.88, 9,693.01 and 3,880.26

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Solution

The fourth proportional to 7,023.88, 9,693.01 and 3,880.26 is: 5,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.88 : 9,693.01 = 3,880.26 : x
  2. Step 2: Convert to fraction form
    7,023.88/9,693.01 = 3,880.26/x
  3. Step 3: Cross multiply
    7,023.88x = 9,693.01 × 3,880.26
  4. Step 4: Simplify right side
    7,023.88x = 37,611,398.98
  5. Step 5: Solve for x
    x = 37,611,398.98/7,023.88
  6. Step 6: Final answer
    x = 5,354.79

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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.