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Finding the Fourth Proportional to 6,774.84, 9,349.02 and 3,790.40

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Solution

The fourth proportional to 6,774.84, 9,349.02 and 3,790.40 is: 5,230.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.84 : 9,349.02 = 3,790.40 : x
  2. Step 2: Convert to fraction form
    6,774.84/9,349.02 = 3,790.40/x
  3. Step 3: Cross multiply
    6,774.84x = 9,349.02 × 3,790.40
  4. Step 4: Simplify right side
    6,774.84x = 35,436,478.66
  5. Step 5: Solve for x
    x = 35,436,478.66/6,774.84
  6. Step 6: Final answer
    x = 5,230.60

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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.