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Finding the Fourth Proportional to 6,883.77, 9,507.41 and 4,641.78

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Solution

The fourth proportional to 6,883.77, 9,507.41 and 4,641.78 is: 6,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,883.77 : 9,507.41 = 4,641.78 : x
  2. Step 2: Convert to fraction form
    6,883.77/9,507.41 = 4,641.78/x
  3. Step 3: Cross multiply
    6,883.77x = 9,507.41 × 4,641.78
  4. Step 4: Simplify right side
    6,883.77x = 44,131,305.59
  5. Step 5: Solve for x
    x = 44,131,305.59/6,883.77
  6. Step 6: Final answer
    x = 6,410.92

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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.