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Finding the Fourth Proportional to 6,714.32, 9,268.34 and 4,475.37

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Solution

The fourth proportional to 6,714.32, 9,268.34 and 4,475.37 is: 6,177.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.32 : 9,268.34 = 4,475.37 : x
  2. Step 2: Convert to fraction form
    6,714.32/9,268.34 = 4,475.37/x
  3. Step 3: Cross multiply
    6,714.32x = 9,268.34 × 4,475.37
  4. Step 4: Simplify right side
    6,714.32x = 41,479,228.41
  5. Step 5: Solve for x
    x = 41,479,228.41/6,714.32
  6. Step 6: Final answer
    x = 6,177.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.