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Finding the Fourth Proportional to 9,861.20, 13,607.94 and 5,384.09

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Solution

The fourth proportional to 9,861.20, 13,607.94 and 5,384.09 is: 7,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.20 : 13,607.94 = 5,384.09 : x
  2. Step 2: Convert to fraction form
    9,861.20/13,607.94 = 5,384.09/x
  3. Step 3: Cross multiply
    9,861.20x = 13,607.94 × 5,384.09
  4. Step 4: Simplify right side
    9,861.20x = 73,266,325.83
  5. Step 5: Solve for x
    x = 73,266,325.83/9,861.20
  6. Step 6: Final answer
    x = 7,429.76

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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.