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Finding the Fourth Proportional to 6,774.72, 9,349.92 and 4,415.04

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Solution

The fourth proportional to 6,774.72, 9,349.92 and 4,415.04 is: 6,093.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,774.72 : 9,349.92 = 4,415.04 : x
  2. Step 2: Convert to fraction form
    6,774.72/9,349.92 = 4,415.04/x
  3. Step 3: Cross multiply
    6,774.72x = 9,349.92 × 4,415.04
  4. Step 4: Simplify right side
    6,774.72x = 41,280,270.80
  5. Step 5: Solve for x
    x = 41,280,270.80/6,774.72
  6. Step 6: Final answer
    x = 6,093.28

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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.