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Finding the Fourth Proportional to 6,214, 9,313.40 and 2,922.72

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Solution

The fourth proportional to 6,214, 9,313.40 and 2,922.72 is: 4,380.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214 : 9,313.40 = 2,922.72 : x
  2. Step 2: Convert to fraction form
    6,214/9,313.40 = 2,922.72/x
  3. Step 3: Cross multiply
    6,214x = 9,313.40 × 2,922.72
  4. Step 4: Simplify right side
    6,214x = 27,220,460.45
  5. Step 5: Solve for x
    x = 27,220,460.45/6,214
  6. Step 6: Final answer
    x = 4,380.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.