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Finding the Fourth Proportional to 6,425.34, 9,647.55 and 3,953.04

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Solution

The fourth proportional to 6,425.34, 9,647.55 and 3,953.04 is: 5,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.34 : 9,647.55 = 3,953.04 : x
  2. Step 2: Convert to fraction form
    6,425.34/9,647.55 = 3,953.04/x
  3. Step 3: Cross multiply
    6,425.34x = 9,647.55 × 3,953.04
  4. Step 4: Simplify right side
    6,425.34x = 38,137,151.05
  5. Step 5: Solve for x
    x = 38,137,151.05/6,425.34
  6. Step 6: Final answer
    x = 5,935.43

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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.