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Finding the Fourth Proportional to 9,033.50, 12,464.44 and 5,053.84

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Solution

The fourth proportional to 9,033.50, 12,464.44 and 5,053.84 is: 6,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,033.50 : 12,464.44 = 5,053.84 : x
  2. Step 2: Convert to fraction form
    9,033.50/12,464.44 = 5,053.84/x
  3. Step 3: Cross multiply
    9,033.50x = 12,464.44 × 5,053.84
  4. Step 4: Simplify right side
    9,033.50x = 62,993,241.65
  5. Step 5: Solve for x
    x = 62,993,241.65/9,033.50
  6. Step 6: Final answer
    x = 6,973.29

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