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Finding the Fourth Proportional to 6,278.96, 9,419.72 and 1,896.45

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Solution

The fourth proportional to 6,278.96, 9,419.72 and 1,896.45 is: 2,845.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.96 : 9,419.72 = 1,896.45 : x
  2. Step 2: Convert to fraction form
    6,278.96/9,419.72 = 1,896.45/x
  3. Step 3: Cross multiply
    6,278.96x = 9,419.72 × 1,896.45
  4. Step 4: Simplify right side
    6,278.96x = 17,864,018.51
  5. Step 5: Solve for x
    x = 17,864,018.51/6,278.96
  6. Step 6: Final answer
    x = 2,845.06

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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.