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Finding the Fourth Proportional to 7,023.80, 9,693.46 and 3,880.59

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Solution

The fourth proportional to 7,023.80, 9,693.46 and 3,880.59 is: 5,355.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.80 : 9,693.46 = 3,880.59 : x
  2. Step 2: Convert to fraction form
    7,023.80/9,693.46 = 3,880.59/x
  3. Step 3: Cross multiply
    7,023.80x = 9,693.46 × 3,880.59
  4. Step 4: Simplify right side
    7,023.80x = 37,616,345.14
  5. Step 5: Solve for x
    x = 37,616,345.14/7,023.80
  6. Step 6: Final answer
    x = 5,355.56

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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.