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Finding the Fourth Proportional to 6,408.58, 9,617.72 and 4,323.64

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Solution

The fourth proportional to 6,408.58, 9,617.72 and 4,323.64 is: 6,488.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.58 : 9,617.72 = 4,323.64 : x
  2. Step 2: Convert to fraction form
    6,408.58/9,617.72 = 4,323.64/x
  3. Step 3: Cross multiply
    6,408.58x = 9,617.72 × 4,323.64
  4. Step 4: Simplify right side
    6,408.58x = 41,583,558.90
  5. Step 5: Solve for x
    x = 41,583,558.90/6,408.58
  6. Step 6: Final answer
    x = 6,488.73

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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.