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Finding the Fourth Proportional to 9,646.35, 14,469.53 and 4,449.39

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Solution

The fourth proportional to 9,646.35, 14,469.53 and 4,449.39 is: 6,674.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.35 : 14,469.53 = 4,449.39 : x
  2. Step 2: Convert to fraction form
    9,646.35/14,469.53 = 4,449.39/x
  3. Step 3: Cross multiply
    9,646.35x = 14,469.53 × 4,449.39
  4. Step 4: Simplify right side
    9,646.35x = 64,380,559.84
  5. Step 5: Solve for x
    x = 64,380,559.84/9,646.35
  6. Step 6: Final answer
    x = 6,674.09

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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.