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Finding the Fourth Proportional to 9,582.87, 13,224.39 and 5,334.33

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Solution

The fourth proportional to 9,582.87, 13,224.39 and 5,334.33 is: 7,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,582.87 : 13,224.39 = 5,334.33 : x
  2. Step 2: Convert to fraction form
    9,582.87/13,224.39 = 5,334.33/x
  3. Step 3: Cross multiply
    9,582.87x = 13,224.39 × 5,334.33
  4. Step 4: Simplify right side
    9,582.87x = 70,543,260.31
  5. Step 5: Solve for x
    x = 70,543,260.31/9,582.87
  6. Step 6: Final answer
    x = 7,361.39

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Why These Related Problems?

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