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Finding the Fourth Proportional to 6,409.86, 9,615.66 and 2,025.80

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Solution

The fourth proportional to 6,409.86, 9,615.66 and 2,025.80 is: 3,038.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.86 : 9,615.66 = 2,025.80 : x
  2. Step 2: Convert to fraction form
    6,409.86/9,615.66 = 2,025.80/x
  3. Step 3: Cross multiply
    6,409.86x = 9,615.66 × 2,025.80
  4. Step 4: Simplify right side
    6,409.86x = 19,479,404.03
  5. Step 5: Solve for x
    x = 19,479,404.03/6,409.86
  6. Step 6: Final answer
    x = 3,038.97

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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.