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Finding the Fourth Proportional to 6,223.24, 9,331.62 and 4,681

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Solution

The fourth proportional to 6,223.24, 9,331.62 and 4,681 is: 7,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,223.24 : 9,331.62 = 4,681 : x
  2. Step 2: Convert to fraction form
    6,223.24/9,331.62 = 4,681/x
  3. Step 3: Cross multiply
    6,223.24x = 9,331.62 × 4,681
  4. Step 4: Simplify right side
    6,223.24x = 43,681,313.22
  5. Step 5: Solve for x
    x = 43,681,313.22/6,223.24
  6. Step 6: Final answer
    x = 7,019.06

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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.