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Finding the Fourth Proportional to 9,025.36, 12,454.32 and 5,668

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Solution

The fourth proportional to 9,025.36, 12,454.32 and 5,668 is: 7,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,025.36 : 12,454.32 = 5,668 : x
  2. Step 2: Convert to fraction form
    9,025.36/12,454.32 = 5,668/x
  3. Step 3: Cross multiply
    9,025.36x = 12,454.32 × 5,668
  4. Step 4: Simplify right side
    9,025.36x = 70,591,085.76
  5. Step 5: Solve for x
    x = 70,591,085.76/9,025.36
  6. Step 6: Final answer
    x = 7,821.41

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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.