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Finding the Fourth Proportional to 9,677.77, 13,342.79 and 6,268.73

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Solution

The fourth proportional to 9,677.77, 13,342.79 and 6,268.73 is: 8,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.77 : 13,342.79 = 6,268.73 : x
  2. Step 2: Convert to fraction form
    9,677.77/13,342.79 = 6,268.73/x
  3. Step 3: Cross multiply
    9,677.77x = 13,342.79 × 6,268.73
  4. Step 4: Simplify right side
    9,677.77x = 83,642,296.91
  5. Step 5: Solve for x
    x = 83,642,296.91/9,677.77
  6. Step 6: Final answer
    x = 8,642.73

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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.