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Finding the Fourth Proportional to 9,402.36, 12,976.14 and 5,424.12

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Solution

The fourth proportional to 9,402.36, 12,976.14 and 5,424.12 is: 7,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.36 : 12,976.14 = 5,424.12 : x
  2. Step 2: Convert to fraction form
    9,402.36/12,976.14 = 5,424.12/x
  3. Step 3: Cross multiply
    9,402.36x = 12,976.14 × 5,424.12
  4. Step 4: Simplify right side
    9,402.36x = 70,384,140.50
  5. Step 5: Solve for x
    x = 70,384,140.50/9,402.36
  6. Step 6: Final answer
    x = 7,485.80

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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.