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Finding the Fourth Proportional to 6,206.94, 9,313.65 and 4,127.94

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Solution

The fourth proportional to 6,206.94, 9,313.65 and 4,127.94 is: 6,194.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,206.94 : 9,313.65 = 4,127.94 : x
  2. Step 2: Convert to fraction form
    6,206.94/9,313.65 = 4,127.94/x
  3. Step 3: Cross multiply
    6,206.94x = 9,313.65 × 4,127.94
  4. Step 4: Simplify right side
    6,206.94x = 38,446,188.38
  5. Step 5: Solve for x
    x = 38,446,188.38/6,206.94
  6. Step 6: Final answer
    x = 6,194.06

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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.