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Finding the Fourth Proportional to 6,867.63, 9,477.84 and 3,883.77

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Solution

The fourth proportional to 6,867.63, 9,477.84 and 3,883.77 is: 5,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.63 : 9,477.84 = 3,883.77 : x
  2. Step 2: Convert to fraction form
    6,867.63/9,477.84 = 3,883.77/x
  3. Step 3: Cross multiply
    6,867.63x = 9,477.84 × 3,883.77
  4. Step 4: Simplify right side
    6,867.63x = 36,809,750.66
  5. Step 5: Solve for x
    x = 36,809,750.66/6,867.63
  6. Step 6: Final answer
    x = 5,359.89

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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.