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Finding the Fourth Proportional to 7,226.33, 9,973.46 and 5,236.16

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Solution

The fourth proportional to 7,226.33, 9,973.46 and 5,236.16 is: 7,226.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.33 : 9,973.46 = 5,236.16 : x
  2. Step 2: Convert to fraction form
    7,226.33/9,973.46 = 5,236.16/x
  3. Step 3: Cross multiply
    7,226.33x = 9,973.46 × 5,236.16
  4. Step 4: Simplify right side
    7,226.33x = 52,222,595.54
  5. Step 5: Solve for x
    x = 52,222,595.54/7,226.33
  6. Step 6: Final answer
    x = 7,226.72

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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.