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Finding the Fourth Proportional to 9,900.35, 13,662.53 and 5,424.14

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Solution

The fourth proportional to 9,900.35, 13,662.53 and 5,424.14 is: 7,485.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.35 : 13,662.53 = 5,424.14 : x
  2. Step 2: Convert to fraction form
    9,900.35/13,662.53 = 5,424.14/x
  3. Step 3: Cross multiply
    9,900.35x = 13,662.53 × 5,424.14
  4. Step 4: Simplify right side
    9,900.35x = 74,107,448.35
  5. Step 5: Solve for x
    x = 74,107,448.35/9,900.35
  6. Step 6: Final answer
    x = 7,485.34

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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.