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Finding the Fourth Proportional to 9,133.88, 12,601.38 and 6,749.60

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Solution

The fourth proportional to 9,133.88, 12,601.38 and 6,749.60 is: 9,311.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.88 : 12,601.38 = 6,749.60 : x
  2. Step 2: Convert to fraction form
    9,133.88/12,601.38 = 6,749.60/x
  3. Step 3: Cross multiply
    9,133.88x = 12,601.38 × 6,749.60
  4. Step 4: Simplify right side
    9,133.88x = 85,054,274.45
  5. Step 5: Solve for x
    x = 85,054,274.45/9,133.88
  6. Step 6: Final answer
    x = 9,311.95

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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.