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Finding the Fourth Proportional to 7,002.21, 9,662.72 and 4,019.12

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Solution

The fourth proportional to 7,002.21, 9,662.72 and 4,019.12 is: 5,546.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.21 : 9,662.72 = 4,019.12 : x
  2. Step 2: Convert to fraction form
    7,002.21/9,662.72 = 4,019.12/x
  3. Step 3: Cross multiply
    7,002.21x = 9,662.72 × 4,019.12
  4. Step 4: Simplify right side
    7,002.21x = 38,835,562.80
  5. Step 5: Solve for x
    x = 38,835,562.80/7,002.21
  6. Step 6: Final answer
    x = 5,546.19

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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.