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Finding the Fourth Proportional to 6,567.36, 9,854.78 and 2,406.81

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Solution

The fourth proportional to 6,567.36, 9,854.78 and 2,406.81 is: 3,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,567.36 : 9,854.78 = 2,406.81 : x
  2. Step 2: Convert to fraction form
    6,567.36/9,854.78 = 2,406.81/x
  3. Step 3: Cross multiply
    6,567.36x = 9,854.78 × 2,406.81
  4. Step 4: Simplify right side
    6,567.36x = 23,718,583.05
  5. Step 5: Solve for x
    x = 23,718,583.05/6,567.36
  6. Step 6: Final answer
    x = 3,611.59

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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.