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Finding the Fourth Proportional to 6,440.81, 9,660.67 and 4,374.09

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Solution

The fourth proportional to 6,440.81, 9,660.67 and 4,374.09 is: 6,560.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.81 : 9,660.67 = 4,374.09 : x
  2. Step 2: Convert to fraction form
    6,440.81/9,660.67 = 4,374.09/x
  3. Step 3: Cross multiply
    6,440.81x = 9,660.67 × 4,374.09
  4. Step 4: Simplify right side
    6,440.81x = 42,256,629.11
  5. Step 5: Solve for x
    x = 42,256,629.11/6,440.81
  6. Step 6: Final answer
    x = 6,560.77

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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.