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Finding the Fourth Proportional to 9,605.75, 14,408.64 and 2,309.75

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Solution

The fourth proportional to 9,605.75, 14,408.64 and 2,309.75 is: 3,464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.75 : 14,408.64 = 2,309.75 : x
  2. Step 2: Convert to fraction form
    9,605.75/14,408.64 = 2,309.75/x
  3. Step 3: Cross multiply
    9,605.75x = 14,408.64 × 2,309.75
  4. Step 4: Simplify right side
    9,605.75x = 33,280,356.24
  5. Step 5: Solve for x
    x = 33,280,356.24/9,605.75
  6. Step 6: Final answer
    x = 3,464.63

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Similar ratio
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1.5x scale

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.