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Finding the Fourth Proportional to 9,900.26, 13,662.40 and 5,424.30

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Solution

The fourth proportional to 9,900.26, 13,662.40 and 5,424.30 is: 7,485.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.26 : 13,662.40 = 5,424.30 : x
  2. Step 2: Convert to fraction form
    9,900.26/13,662.40 = 5,424.30/x
  3. Step 3: Cross multiply
    9,900.26x = 13,662.40 × 5,424.30
  4. Step 4: Simplify right side
    9,900.26x = 74,108,956.32
  5. Step 5: Solve for x
    x = 74,108,956.32/9,900.26
  6. Step 6: Final answer
    x = 7,485.56

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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.