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Finding the Fourth Proportional to 6,878.36, 9,492.70 and 5,757.32

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Solution

The fourth proportional to 6,878.36, 9,492.70 and 5,757.32 is: 7,945.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.36 : 9,492.70 = 5,757.32 : x
  2. Step 2: Convert to fraction form
    6,878.36/9,492.70 = 5,757.32/x
  3. Step 3: Cross multiply
    6,878.36x = 9,492.70 × 5,757.32
  4. Step 4: Simplify right side
    6,878.36x = 54,652,511.56
  5. Step 5: Solve for x
    x = 54,652,511.56/6,878.36
  6. Step 6: Final answer
    x = 7,945.57

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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.