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Finding the Fourth Proportional to 9,784.67, 14,671.53 and 3,209.09

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Solution

The fourth proportional to 9,784.67, 14,671.53 and 3,209.09 is: 4,811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.67 : 14,671.53 = 3,209.09 : x
  2. Step 2: Convert to fraction form
    9,784.67/14,671.53 = 3,209.09/x
  3. Step 3: Cross multiply
    9,784.67x = 14,671.53 × 3,209.09
  4. Step 4: Simplify right side
    9,784.67x = 47,082,186.85
  5. Step 5: Solve for x
    x = 47,082,186.85/9,784.67
  6. Step 6: Final answer
    x = 4,811.83

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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.