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Finding the Fourth Proportional to 6,438.61, 9,674.09 and 4,099.66

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Solution

The fourth proportional to 6,438.61, 9,674.09 and 4,099.66 is: 6,159.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.61 : 9,674.09 = 4,099.66 : x
  2. Step 2: Convert to fraction form
    6,438.61/9,674.09 = 4,099.66/x
  3. Step 3: Cross multiply
    6,438.61x = 9,674.09 × 4,099.66
  4. Step 4: Simplify right side
    6,438.61x = 39,660,479.81
  5. Step 5: Solve for x
    x = 39,660,479.81/6,438.61
  6. Step 6: Final answer
    x = 6,159.79

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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.