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Finding the Fourth Proportional to 6,178.77, 9,269.04 and 1,796.55

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Solution

The fourth proportional to 6,178.77, 9,269.04 and 1,796.55 is: 2,695.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.77 : 9,269.04 = 1,796.55 : x
  2. Step 2: Convert to fraction form
    6,178.77/9,269.04 = 1,796.55/x
  3. Step 3: Cross multiply
    6,178.77x = 9,269.04 × 1,796.55
  4. Step 4: Simplify right side
    6,178.77x = 16,652,293.81
  5. Step 5: Solve for x
    x = 16,652,293.81/6,178.77
  6. Step 6: Final answer
    x = 2,695.08

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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.