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Finding the Fourth Proportional to 9,784.37, 14,676.04 and 3,209.69

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Solution

The fourth proportional to 9,784.37, 14,676.04 and 3,209.69 is: 4,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.37 : 14,676.04 = 3,209.69 : x
  2. Step 2: Convert to fraction form
    9,784.37/14,676.04 = 3,209.69/x
  3. Step 3: Cross multiply
    9,784.37x = 14,676.04 × 3,209.69
  4. Step 4: Simplify right side
    9,784.37x = 47,105,538.83
  5. Step 5: Solve for x
    x = 47,105,538.83/9,784.37
  6. Step 6: Final answer
    x = 4,814.37

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