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Finding the Fourth Proportional to 6,878.25, 9,467.45 and 6,158.36

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Solution

The fourth proportional to 6,878.25, 9,467.45 and 6,158.36 is: 8,476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,878.25 : 9,467.45 = 6,158.36 : x
  2. Step 2: Convert to fraction form
    6,878.25/9,467.45 = 6,158.36/x
  3. Step 3: Cross multiply
    6,878.25x = 9,467.45 × 6,158.36
  4. Step 4: Simplify right side
    6,878.25x = 58,303,887.25
  5. Step 5: Solve for x
    x = 58,303,887.25/6,878.25
  6. Step 6: Final answer
    x = 8,476.56

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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.