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Finding the Fourth Proportional to 6,441.40, 9,660.66 and 2,975.32

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Solution

The fourth proportional to 6,441.40, 9,660.66 and 2,975.32 is: 4,462.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.40 : 9,660.66 = 2,975.32 : x
  2. Step 2: Convert to fraction form
    6,441.40/9,660.66 = 2,975.32/x
  3. Step 3: Cross multiply
    6,441.40x = 9,660.66 × 2,975.32
  4. Step 4: Simplify right side
    6,441.40x = 28,743,554.91
  5. Step 5: Solve for x
    x = 28,743,554.91/6,441.40
  6. Step 6: Final answer
    x = 4,462.31

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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.