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Finding the Fourth Proportional to 6,408.24, 9,612.36 and 5,314.74

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Solution

The fourth proportional to 6,408.24, 9,612.36 and 5,314.74 is: 7,972.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.24 : 9,612.36 = 5,314.74 : x
  2. Step 2: Convert to fraction form
    6,408.24/9,612.36 = 5,314.74/x
  3. Step 3: Cross multiply
    6,408.24x = 9,612.36 × 5,314.74
  4. Step 4: Simplify right side
    6,408.24x = 51,087,194.19
  5. Step 5: Solve for x
    x = 51,087,194.19/6,408.24
  6. Step 6: Final answer
    x = 7,972.11

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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.