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Finding the Fourth Proportional to 9,676.65, 14,500.23 and 4,408.68

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Solution

The fourth proportional to 9,676.65, 14,500.23 and 4,408.68 is: 6,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.65 : 14,500.23 = 4,408.68 : x
  2. Step 2: Convert to fraction form
    9,676.65/14,500.23 = 4,408.68/x
  3. Step 3: Cross multiply
    9,676.65x = 14,500.23 × 4,408.68
  4. Step 4: Simplify right side
    9,676.65x = 63,926,874.00
  5. Step 5: Solve for x
    x = 63,926,874.00/9,676.65
  6. Step 6: Final answer
    x = 6,606.30

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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.