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Finding the Fourth Proportional to 9,456, 14,184.44 and 3,216.28

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Solution

The fourth proportional to 9,456, 14,184.44 and 3,216.28 is: 4,824.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456 : 14,184.44 = 3,216.28 : x
  2. Step 2: Convert to fraction form
    9,456/14,184.44 = 3,216.28/x
  3. Step 3: Cross multiply
    9,456x = 14,184.44 × 3,216.28
  4. Step 4: Simplify right side
    9,456x = 45,621,130.68
  5. Step 5: Solve for x
    x = 45,621,130.68/9,456
  6. Step 6: Final answer
    x = 4,824.57

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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.