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Finding the Fourth Proportional to 6,278.77, 8,642.95 and 5,427.63

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Solution

The fourth proportional to 6,278.77, 8,642.95 and 5,427.63 is: 7,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.77 : 8,642.95 = 5,427.63 : x
  2. Step 2: Convert to fraction form
    6,278.77/8,642.95 = 5,427.63/x
  3. Step 3: Cross multiply
    6,278.77x = 8,642.95 × 5,427.63
  4. Step 4: Simplify right side
    6,278.77x = 46,910,664.36
  5. Step 5: Solve for x
    x = 46,910,664.36/6,278.77
  6. Step 6: Final answer
    x = 7,471.32

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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.