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Finding the Fourth Proportional to 9,763.92, 13,474.32 and 5,783.52

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Solution

The fourth proportional to 9,763.92, 13,474.32 and 5,783.52 is: 7,981.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.92 : 13,474.32 = 5,783.52 : x
  2. Step 2: Convert to fraction form
    9,763.92/13,474.32 = 5,783.52/x
  3. Step 3: Cross multiply
    9,763.92x = 13,474.32 × 5,783.52
  4. Step 4: Simplify right side
    9,763.92x = 77,928,999.21
  5. Step 5: Solve for x
    x = 77,928,999.21/9,763.92
  6. Step 6: Final answer
    x = 7,981.32

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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.