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Finding the Fourth Proportional to 6,164.83, 9,246.84 and 2,878.66

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Solution

The fourth proportional to 6,164.83, 9,246.84 and 2,878.66 is: 4,317.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.83 : 9,246.84 = 2,878.66 : x
  2. Step 2: Convert to fraction form
    6,164.83/9,246.84 = 2,878.66/x
  3. Step 3: Cross multiply
    6,164.83x = 9,246.84 × 2,878.66
  4. Step 4: Simplify right side
    6,164.83x = 26,618,508.43
  5. Step 5: Solve for x
    x = 26,618,508.43/6,164.83
  6. Step 6: Final answer
    x = 4,317.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.