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Finding the Fourth Proportional to 9,643.44, 14,465.20 and 3,796.88

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Solution

The fourth proportional to 9,643.44, 14,465.20 and 3,796.88 is: 5,695.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.44 : 14,465.20 = 3,796.88 : x
  2. Step 2: Convert to fraction form
    9,643.44/14,465.20 = 3,796.88/x
  3. Step 3: Cross multiply
    9,643.44x = 14,465.20 × 3,796.88
  4. Step 4: Simplify right side
    9,643.44x = 54,922,628.58
  5. Step 5: Solve for x
    x = 54,922,628.58/9,643.44
  6. Step 6: Final answer
    x = 5,695.34

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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.