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Finding the Fourth Proportional to 9,724.50, 13,419.01 and 5,474.20

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Solution

The fourth proportional to 9,724.50, 13,419.01 and 5,474.20 is: 7,553.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.50 : 13,419.01 = 5,474.20 : x
  2. Step 2: Convert to fraction form
    9,724.50/13,419.01 = 5,474.20/x
  3. Step 3: Cross multiply
    9,724.50x = 13,419.01 × 5,474.20
  4. Step 4: Simplify right side
    9,724.50x = 73,458,393.32
  5. Step 5: Solve for x
    x = 73,458,393.32/9,724.50
  6. Step 6: Final answer
    x = 7,553.95

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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.