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Finding the Fourth Proportional to 7,200.72, 9,933.60 and 4,214.72

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Solution

The fourth proportional to 7,200.72, 9,933.60 and 4,214.72 is: 5,814.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.72 : 9,933.60 = 4,214.72 : x
  2. Step 2: Convert to fraction form
    7,200.72/9,933.60 = 4,214.72/x
  3. Step 3: Cross multiply
    7,200.72x = 9,933.60 × 4,214.72
  4. Step 4: Simplify right side
    7,200.72x = 41,867,342.59
  5. Step 5: Solve for x
    x = 41,867,342.59/7,200.72
  6. Step 6: Final answer
    x = 5,814.33

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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.