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Finding the Fourth Proportional to 9,763.28, 13,477.32 and 6,783.44

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Solution

The fourth proportional to 9,763.28, 13,477.32 and 6,783.44 is: 9,363.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.28 : 13,477.32 = 6,783.44 : x
  2. Step 2: Convert to fraction form
    9,763.28/13,477.32 = 6,783.44/x
  3. Step 3: Cross multiply
    9,763.28x = 13,477.32 × 6,783.44
  4. Step 4: Simplify right side
    9,763.28x = 91,422,591.58
  5. Step 5: Solve for x
    x = 91,422,591.58/9,763.28
  6. Step 6: Final answer
    x = 9,363.92

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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.