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Finding the Fourth Proportional to 6,685.78, 9,216.12 and 5,004.64

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Solution

The fourth proportional to 6,685.78, 9,216.12 and 5,004.64 is: 6,898.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.78 : 9,216.12 = 5,004.64 : x
  2. Step 2: Convert to fraction form
    6,685.78/9,216.12 = 5,004.64/x
  3. Step 3: Cross multiply
    6,685.78x = 9,216.12 × 5,004.64
  4. Step 4: Simplify right side
    6,685.78x = 46,123,362.80
  5. Step 5: Solve for x
    x = 46,123,362.80/6,685.78
  6. Step 6: Final answer
    x = 6,898.73

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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.