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Finding the Fourth Proportional to 7,224.49, 9,970.83 and 5,214.54

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Solution

The fourth proportional to 7,224.49, 9,970.83 and 5,214.54 is: 7,196.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.49 : 9,970.83 = 5,214.54 : x
  2. Step 2: Convert to fraction form
    7,224.49/9,970.83 = 5,214.54/x
  3. Step 3: Cross multiply
    7,224.49x = 9,970.83 × 5,214.54
  4. Step 4: Simplify right side
    7,224.49x = 51,993,329.26
  5. Step 5: Solve for x
    x = 51,993,329.26/7,224.49
  6. Step 6: Final answer
    x = 7,196.82

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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.