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Finding the Fourth Proportional to 6,533.66, 9,016.47 and 4,178.30

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Solution

The fourth proportional to 6,533.66, 9,016.47 and 4,178.30 is: 5,766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,533.66 : 9,016.47 = 4,178.30 : x
  2. Step 2: Convert to fraction form
    6,533.66/9,016.47 = 4,178.30/x
  3. Step 3: Cross multiply
    6,533.66x = 9,016.47 × 4,178.30
  4. Step 4: Simplify right side
    6,533.66x = 37,673,516.60
  5. Step 5: Solve for x
    x = 37,673,516.60/6,533.66
  6. Step 6: Final answer
    x = 5,766.07

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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.