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Finding the Fourth Proportional to 7,220.80, 9,965.38 and 4,533.94

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Solution

The fourth proportional to 7,220.80, 9,965.38 and 4,533.94 is: 6,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.80 : 9,965.38 = 4,533.94 : x
  2. Step 2: Convert to fraction form
    7,220.80/9,965.38 = 4,533.94/x
  3. Step 3: Cross multiply
    7,220.80x = 9,965.38 × 4,533.94
  4. Step 4: Simplify right side
    7,220.80x = 45,182,435.00
  5. Step 5: Solve for x
    x = 45,182,435.00/7,220.80
  6. Step 6: Final answer
    x = 6,257.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.