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Finding the Fourth Proportional to 9,537.42, 14,305.98 and 4,604.52

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Solution

The fourth proportional to 9,537.42, 14,305.98 and 4,604.52 is: 6,906.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.42 : 14,305.98 = 4,604.52 : x
  2. Step 2: Convert to fraction form
    9,537.42/14,305.98 = 4,604.52/x
  3. Step 3: Cross multiply
    9,537.42x = 14,305.98 × 4,604.52
  4. Step 4: Simplify right side
    9,537.42x = 65,872,171.03
  5. Step 5: Solve for x
    x = 65,872,171.03/9,537.42
  6. Step 6: Final answer
    x = 6,906.71

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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.