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Finding the Fourth Proportional to 6,858.56, 9,465.01 and 3,874.52

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Solution

The fourth proportional to 6,858.56, 9,465.01 and 3,874.52 is: 5,346.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.56 : 9,465.01 = 3,874.52 : x
  2. Step 2: Convert to fraction form
    6,858.56/9,465.01 = 3,874.52/x
  3. Step 3: Cross multiply
    6,858.56x = 9,465.01 × 3,874.52
  4. Step 4: Simplify right side
    6,858.56x = 36,672,327.51
  5. Step 5: Solve for x
    x = 36,672,327.51/6,858.56
  6. Step 6: Final answer
    x = 5,346.94

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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.