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Finding the Fourth Proportional to 9,900.10, 13,662.10 and 5,424.13

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Solution

The fourth proportional to 9,900.10, 13,662.10 and 5,424.13 is: 7,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.10 : 13,662.10 = 5,424.13 : x
  2. Step 2: Convert to fraction form
    9,900.10/13,662.10 = 5,424.13/x
  3. Step 3: Cross multiply
    9,900.10x = 13,662.10 × 5,424.13
  4. Step 4: Simplify right side
    9,900.10x = 74,105,006.47
  5. Step 5: Solve for x
    x = 74,105,006.47/9,900.10
  6. Step 6: Final answer
    x = 7,485.28

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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.