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Finding the Fourth Proportional to 9,861.23, 13,607.64 and 5,881.50

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Solution

The fourth proportional to 9,861.23, 13,607.64 and 5,881.50 is: 8,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.23 : 13,607.64 = 5,881.50 : x
  2. Step 2: Convert to fraction form
    9,861.23/13,607.64 = 5,881.50/x
  3. Step 3: Cross multiply
    9,861.23x = 13,607.64 × 5,881.50
  4. Step 4: Simplify right side
    9,861.23x = 80,033,334.66
  5. Step 5: Solve for x
    x = 80,033,334.66/9,861.23
  6. Step 6: Final answer
    x = 8,115.96

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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.