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Finding the Fourth Proportional to 6,184.64, 9,277.02 and 4,959.83

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Solution

The fourth proportional to 6,184.64, 9,277.02 and 4,959.83 is: 7,439.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.64 : 9,277.02 = 4,959.83 : x
  2. Step 2: Convert to fraction form
    6,184.64/9,277.02 = 4,959.83/x
  3. Step 3: Cross multiply
    6,184.64x = 9,277.02 × 4,959.83
  4. Step 4: Simplify right side
    6,184.64x = 46,012,496.54
  5. Step 5: Solve for x
    x = 46,012,496.54/6,184.64
  6. Step 6: Final answer
    x = 7,439.80

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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.