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Finding the Fourth Proportional to 9,823.64, 14,715.39 and 8,174.87

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Solution

The fourth proportional to 9,823.64, 14,715.39 and 8,174.87 is: 12,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.64 : 14,715.39 = 8,174.87 : x
  2. Step 2: Convert to fraction form
    9,823.64/14,715.39 = 8,174.87/x
  3. Step 3: Cross multiply
    9,823.64x = 14,715.39 × 8,174.87
  4. Step 4: Simplify right side
    9,823.64x = 120,296,400.25
  5. Step 5: Solve for x
    x = 120,296,400.25/9,823.64
  6. Step 6: Final answer
    x = 12,245.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.