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Finding the Fourth Proportional to 9,641.36, 14,452.32 and 7,328

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Solution

The fourth proportional to 9,641.36, 14,452.32 and 7,328 is: 10,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.36 : 14,452.32 = 7,328 : x
  2. Step 2: Convert to fraction form
    9,641.36/14,452.32 = 7,328/x
  3. Step 3: Cross multiply
    9,641.36x = 14,452.32 × 7,328
  4. Step 4: Simplify right side
    9,641.36x = 105,906,600.96
  5. Step 5: Solve for x
    x = 105,906,600.96/9,641.36
  6. Step 6: Final answer
    x = 10,984.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.