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Finding the Fourth Proportional to 7,002.03, 9,662.79 and 3,858.22

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Solution

The fourth proportional to 7,002.03, 9,662.79 and 3,858.22 is: 5,324.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.03 : 9,662.79 = 3,858.22 : x
  2. Step 2: Convert to fraction form
    7,002.03/9,662.79 = 3,858.22/x
  3. Step 3: Cross multiply
    7,002.03x = 9,662.79 × 3,858.22
  4. Step 4: Simplify right side
    7,002.03x = 37,281,169.00
  5. Step 5: Solve for x
    x = 37,281,169.00/7,002.03
  6. Step 6: Final answer
    x = 5,324.34

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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.