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Finding the Fourth Proportional to 9,634.53, 13,295.03 and 5,443.05

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Solution

The fourth proportional to 9,634.53, 13,295.03 and 5,443.05 is: 7,511.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.53 : 13,295.03 = 5,443.05 : x
  2. Step 2: Convert to fraction form
    9,634.53/13,295.03 = 5,443.05/x
  3. Step 3: Cross multiply
    9,634.53x = 13,295.03 × 5,443.05
  4. Step 4: Simplify right side
    9,634.53x = 72,365,485.83
  5. Step 5: Solve for x
    x = 72,365,485.83/9,634.53
  6. Step 6: Final answer
    x = 7,511.06

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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.