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Finding the Fourth Proportional to 9,258.21, 12,776.22 and 5,279.31

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Solution

The fourth proportional to 9,258.21, 12,776.22 and 5,279.31 is: 7,285.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.21 : 12,776.22 = 5,279.31 : x
  2. Step 2: Convert to fraction form
    9,258.21/12,776.22 = 5,279.31/x
  3. Step 3: Cross multiply
    9,258.21x = 12,776.22 × 5,279.31
  4. Step 4: Simplify right side
    9,258.21x = 67,449,626.01
  5. Step 5: Solve for x
    x = 67,449,626.01/9,258.21
  6. Step 6: Final answer
    x = 7,285.39

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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.