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Finding the Fourth Proportional to 9,258.21, 12,775.55 and 5,224.82

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Solution

The fourth proportional to 9,258.21, 12,775.55 and 5,224.82 is: 7,209.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.21 : 12,775.55 = 5,224.82 : x
  2. Step 2: Convert to fraction form
    9,258.21/12,775.55 = 5,224.82/x
  3. Step 3: Cross multiply
    9,258.21x = 12,775.55 × 5,224.82
  4. Step 4: Simplify right side
    9,258.21x = 66,749,859.15
  5. Step 5: Solve for x
    x = 66,749,859.15/9,258.21
  6. Step 6: Final answer
    x = 7,209.80

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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.