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Finding the Fourth Proportional to 6,408.10, 9,612.15 and 5,314.60

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Solution

The fourth proportional to 6,408.10, 9,612.15 and 5,314.60 is: 7,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.10 : 9,612.15 = 5,314.60 : x
  2. Step 2: Convert to fraction form
    6,408.10/9,612.15 = 5,314.60/x
  3. Step 3: Cross multiply
    6,408.10x = 9,612.15 × 5,314.60
  4. Step 4: Simplify right side
    6,408.10x = 51,084,732.39
  5. Step 5: Solve for x
    x = 51,084,732.39/6,408.10
  6. Step 6: Final answer
    x = 7,971.90

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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.