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Finding the Fourth Proportional to 9,846.24, 13,584.38 and 6,311.40

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Solution

The fourth proportional to 9,846.24, 13,584.38 and 6,311.40 is: 8,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.24 : 13,584.38 = 6,311.40 : x
  2. Step 2: Convert to fraction form
    9,846.24/13,584.38 = 6,311.40/x
  3. Step 3: Cross multiply
    9,846.24x = 13,584.38 × 6,311.40
  4. Step 4: Simplify right side
    9,846.24x = 85,736,455.93
  5. Step 5: Solve for x
    x = 85,736,455.93/9,846.24
  6. Step 6: Final answer
    x = 8,707.53

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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.