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Finding the Fourth Proportional to 9,496.21, 13,107.31 and 5,463.49

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Solution

The fourth proportional to 9,496.21, 13,107.31 and 5,463.49 is: 7,541.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.21 : 13,107.31 = 5,463.49 : x
  2. Step 2: Convert to fraction form
    9,496.21/13,107.31 = 5,463.49/x
  3. Step 3: Cross multiply
    9,496.21x = 13,107.31 × 5,463.49
  4. Step 4: Simplify right side
    9,496.21x = 71,611,657.11
  5. Step 5: Solve for x
    x = 71,611,657.11/9,496.21
  6. Step 6: Final answer
    x = 7,541.08

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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.