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Finding the Fourth Proportional to 6,474.38, 9,725.40 and 4,637.30

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Solution

The fourth proportional to 6,474.38, 9,725.40 and 4,637.30 is: 6,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.38 : 9,725.40 = 4,637.30 : x
  2. Step 2: Convert to fraction form
    6,474.38/9,725.40 = 4,637.30/x
  3. Step 3: Cross multiply
    6,474.38x = 9,725.40 × 4,637.30
  4. Step 4: Simplify right side
    6,474.38x = 45,099,597.42
  5. Step 5: Solve for x
    x = 45,099,597.42/6,474.38
  6. Step 6: Final answer
    x = 6,965.86

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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.