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Finding the Fourth Proportional to 9,537.57, 14,310.47 and 5,158.12

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Solution

The fourth proportional to 9,537.57, 14,310.47 and 5,158.12 is: 7,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.57 : 14,310.47 = 5,158.12 : x
  2. Step 2: Convert to fraction form
    9,537.57/14,310.47 = 5,158.12/x
  3. Step 3: Cross multiply
    9,537.57x = 14,310.47 × 5,158.12
  4. Step 4: Simplify right side
    9,537.57x = 73,815,121.52
  5. Step 5: Solve for x
    x = 73,815,121.52/9,537.57
  6. Step 6: Final answer
    x = 7,739.41

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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.