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Finding the Fourth Proportional to 9,436.64, 13,022.64 and 5,244.96

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Solution

The fourth proportional to 9,436.64, 13,022.64 and 5,244.96 is: 7,238.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,436.64 : 13,022.64 = 5,244.96 : x
  2. Step 2: Convert to fraction form
    9,436.64/13,022.64 = 5,244.96/x
  3. Step 3: Cross multiply
    9,436.64x = 13,022.64 × 5,244.96
  4. Step 4: Simplify right side
    9,436.64x = 68,303,225.89
  5. Step 5: Solve for x
    x = 68,303,225.89/9,436.64
  6. Step 6: Final answer
    x = 7,238.09

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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.