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Finding the Fourth Proportional to 6,164.94, 9,252.26 and 2,876.34

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Solution

The fourth proportional to 6,164.94, 9,252.26 and 2,876.34 is: 4,316.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.94 : 9,252.26 = 2,876.34 : x
  2. Step 2: Convert to fraction form
    6,164.94/9,252.26 = 2,876.34/x
  3. Step 3: Cross multiply
    6,164.94x = 9,252.26 × 2,876.34
  4. Step 4: Simplify right side
    6,164.94x = 26,612,645.53
  5. Step 5: Solve for x
    x = 26,612,645.53/6,164.94
  6. Step 6: Final answer
    x = 4,316.77

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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.