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Finding the Fourth Proportional to 6,408.48, 9,612.72 and 1,544.48

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Solution

The fourth proportional to 6,408.48, 9,612.72 and 1,544.48 is: 2,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.48 : 9,612.72 = 1,544.48 : x
  2. Step 2: Convert to fraction form
    6,408.48/9,612.72 = 1,544.48/x
  3. Step 3: Cross multiply
    6,408.48x = 9,612.72 × 1,544.48
  4. Step 4: Simplify right side
    6,408.48x = 14,846,653.79
  5. Step 5: Solve for x
    x = 14,846,653.79/6,408.48
  6. Step 6: Final answer
    x = 2,316.72

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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.