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Finding the Fourth Proportional to 9,319.68, 13,976.52 and 3,078.24

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Solution

The fourth proportional to 9,319.68, 13,976.52 and 3,078.24 is: 4,616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,319.68 : 13,976.52 = 3,078.24 : x
  2. Step 2: Convert to fraction form
    9,319.68/13,976.52 = 3,078.24/x
  3. Step 3: Cross multiply
    9,319.68x = 13,976.52 × 3,078.24
  4. Step 4: Simplify right side
    9,319.68x = 43,023,082.92
  5. Step 5: Solve for x
    x = 43,023,082.92/9,319.68
  6. Step 6: Final answer
    x = 4,616.37

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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.