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Finding the Fourth Proportional to 9,258.79, 12,777.38 and 5,721.67

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Solution

The fourth proportional to 9,258.79, 12,777.38 and 5,721.67 is: 7,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,258.79 : 12,777.38 = 5,721.67 : x
  2. Step 2: Convert to fraction form
    9,258.79/12,777.38 = 5,721.67/x
  3. Step 3: Cross multiply
    9,258.79x = 12,777.38 × 5,721.67
  4. Step 4: Simplify right side
    9,258.79x = 73,107,951.82
  5. Step 5: Solve for x
    x = 73,107,951.82/9,258.79
  6. Step 6: Final answer
    x = 7,896.06

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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.