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Finding the Fourth Proportional to 6,892.09, 9,512.44 and 4,377.14

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Solution

The fourth proportional to 6,892.09, 9,512.44 and 4,377.14 is: 6,041.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,892.09 : 9,512.44 = 4,377.14 : x
  2. Step 2: Convert to fraction form
    6,892.09/9,512.44 = 4,377.14/x
  3. Step 3: Cross multiply
    6,892.09x = 9,512.44 × 4,377.14
  4. Step 4: Simplify right side
    6,892.09x = 41,637,258.79
  5. Step 5: Solve for x
    x = 41,637,258.79/6,892.09
  6. Step 6: Final answer
    x = 6,041.31

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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.