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Finding the Fourth Proportional to 8,418.09, 12,615.89 and 6,460.68

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Solution

The fourth proportional to 8,418.09, 12,615.89 and 6,460.68 is: 9,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,418.09 : 12,615.89 = 6,460.68 : x
  2. Step 2: Convert to fraction form
    8,418.09/12,615.89 = 6,460.68/x
  3. Step 3: Cross multiply
    8,418.09x = 12,615.89 × 6,460.68
  4. Step 4: Simplify right side
    8,418.09x = 81,507,195.90
  5. Step 5: Solve for x
    x = 81,507,195.90/8,418.09
  6. Step 6: Final answer
    x = 9,682.39

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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.