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Finding the Fourth Proportional to 9,901.40, 13,663.20 and 5,424.42

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Solution

The fourth proportional to 9,901.40, 13,663.20 and 5,424.42 is: 7,485.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,901.40 : 13,663.20 = 5,424.42 : x
  2. Step 2: Convert to fraction form
    9,901.40/13,663.20 = 5,424.42/x
  3. Step 3: Cross multiply
    9,901.40x = 13,663.20 × 5,424.42
  4. Step 4: Simplify right side
    9,901.40x = 74,115,006.92
  5. Step 5: Solve for x
    x = 74,115,006.92/9,901.40
  6. Step 6: Final answer
    x = 7,485.31

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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.