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Finding the Fourth Proportional to 6,986.95, 9,644.24 and 4,475.81

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Solution

The fourth proportional to 6,986.95, 9,644.24 and 4,475.81 is: 6,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986.95 : 9,644.24 = 4,475.81 : x
  2. Step 2: Convert to fraction form
    6,986.95/9,644.24 = 4,475.81/x
  3. Step 3: Cross multiply
    6,986.95x = 9,644.24 × 4,475.81
  4. Step 4: Simplify right side
    6,986.95x = 43,165,785.83
  5. Step 5: Solve for x
    x = 43,165,785.83/6,986.95
  6. Step 6: Final answer
    x = 6,178.06

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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.