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Finding the Fourth Proportional to 9,313.44, 13,963.68 and 3,468.48

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Solution

The fourth proportional to 9,313.44, 13,963.68 and 3,468.48 is: 5,200.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,313.44 : 13,963.68 = 3,468.48 : x
  2. Step 2: Convert to fraction form
    9,313.44/13,963.68 = 3,468.48/x
  3. Step 3: Cross multiply
    9,313.44x = 13,963.68 × 3,468.48
  4. Step 4: Simplify right side
    9,313.44x = 48,432,744.81
  5. Step 5: Solve for x
    x = 48,432,744.81/9,313.44
  6. Step 6: Final answer
    x = 5,200.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.