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Finding the Fourth Proportional to 6,774.27, 9,347.57 and 3,790.23

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Solution

The fourth proportional to 6,774.27, 9,347.57 and 3,790.23 is: 5,230.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.27 : 9,347.57 = 3,790.23 : x
  2. Step 2: Convert to fraction form
    6,774.27/9,347.57 = 3,790.23/x
  3. Step 3: Cross multiply
    6,774.27x = 9,347.57 × 3,790.23
  4. Step 4: Simplify right side
    6,774.27x = 35,429,440.24
  5. Step 5: Solve for x
    x = 35,429,440.24/6,774.27
  6. Step 6: Final answer
    x = 5,230.00

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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.