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Finding the Fourth Proportional to 9,486.66, 14,231.66 and 3,245.20

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Solution

The fourth proportional to 9,486.66, 14,231.66 and 3,245.20 is: 4,868.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.66 : 14,231.66 = 3,245.20 : x
  2. Step 2: Convert to fraction form
    9,486.66/14,231.66 = 3,245.20/x
  3. Step 3: Cross multiply
    9,486.66x = 14,231.66 × 3,245.20
  4. Step 4: Simplify right side
    9,486.66x = 46,184,583.03
  5. Step 5: Solve for x
    x = 46,184,583.03/9,486.66
  6. Step 6: Final answer
    x = 4,868.37

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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.