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Finding the Fourth Proportional to 9,404, 12,976.48 and 5,424.32

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Solution

The fourth proportional to 9,404, 12,976.48 and 5,424.32 is: 7,484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404 : 12,976.48 = 5,424.32 : x
  2. Step 2: Convert to fraction form
    9,404/12,976.48 = 5,424.32/x
  3. Step 3: Cross multiply
    9,404x = 12,976.48 × 5,424.32
  4. Step 4: Simplify right side
    9,404x = 70,388,579.99
  5. Step 5: Solve for x
    x = 70,388,579.99/9,404
  6. Step 6: Final answer
    x = 7,484.96

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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.