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Finding the Fourth Proportional to 9,635.64, 13,299.60 and 5,446.32

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Solution

The fourth proportional to 9,635.64, 13,299.60 and 5,446.32 is: 7,517.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.64 : 13,299.60 = 5,446.32 : x
  2. Step 2: Convert to fraction form
    9,635.64/13,299.60 = 5,446.32/x
  3. Step 3: Cross multiply
    9,635.64x = 13,299.60 × 5,446.32
  4. Step 4: Simplify right side
    9,635.64x = 72,433,877.47
  5. Step 5: Solve for x
    x = 72,433,877.47/9,635.64
  6. Step 6: Final answer
    x = 7,517.29

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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.