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Finding the Fourth Proportional to 9,396.50, 12,967.17 and 5,670.50

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Solution

The fourth proportional to 9,396.50, 12,967.17 and 5,670.50 is: 7,825.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.50 : 12,967.17 = 5,670.50 : x
  2. Step 2: Convert to fraction form
    9,396.50/12,967.17 = 5,670.50/x
  3. Step 3: Cross multiply
    9,396.50x = 12,967.17 × 5,670.50
  4. Step 4: Simplify right side
    9,396.50x = 73,530,337.49
  5. Step 5: Solve for x
    x = 73,530,337.49/9,396.50
  6. Step 6: Final answer
    x = 7,825.29

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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.