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Finding the Fourth Proportional to 9,614.48, 13,249.32 and 6,424.16

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Solution

The fourth proportional to 9,614.48, 13,249.32 and 6,424.16 is: 8,852.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.48 : 13,249.32 = 6,424.16 : x
  2. Step 2: Convert to fraction form
    9,614.48/13,249.32 = 6,424.16/x
  3. Step 3: Cross multiply
    9,614.48x = 13,249.32 × 6,424.16
  4. Step 4: Simplify right side
    9,614.48x = 85,115,751.57
  5. Step 5: Solve for x
    x = 85,115,751.57/9,614.48
  6. Step 6: Final answer
    x = 8,852.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.