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Finding the Fourth Proportional to 7,214.40, 9,958.14 and 4,231.44

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Solution

The fourth proportional to 7,214.40, 9,958.14 and 4,231.44 is: 5,840.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.40 : 9,958.14 = 4,231.44 : x
  2. Step 2: Convert to fraction form
    7,214.40/9,958.14 = 4,231.44/x
  3. Step 3: Cross multiply
    7,214.40x = 9,958.14 × 4,231.44
  4. Step 4: Simplify right side
    7,214.40x = 42,137,271.92
  5. Step 5: Solve for x
    x = 42,137,271.92/7,214.40
  6. Step 6: Final answer
    x = 5,840.72

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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.