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Finding the Fourth Proportional to 6,441.32, 9,643.20 and 3,968.72

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Solution

The fourth proportional to 6,441.32, 9,643.20 and 3,968.72 is: 5,941.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.32 : 9,643.20 = 3,968.72 : x
  2. Step 2: Convert to fraction form
    6,441.32/9,643.20 = 3,968.72/x
  3. Step 3: Cross multiply
    6,441.32x = 9,643.20 × 3,968.72
  4. Step 4: Simplify right side
    6,441.32x = 38,271,160.70
  5. Step 5: Solve for x
    x = 38,271,160.70/6,441.32
  6. Step 6: Final answer
    x = 5,941.51

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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.