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Finding the Fourth Proportional to 9,137.93, 12,609.44 and 5,158.27

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Solution

The fourth proportional to 9,137.93, 12,609.44 and 5,158.27 is: 7,117.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.93 : 12,609.44 = 5,158.27 : x
  2. Step 2: Convert to fraction form
    9,137.93/12,609.44 = 5,158.27/x
  3. Step 3: Cross multiply
    9,137.93x = 12,609.44 × 5,158.27
  4. Step 4: Simplify right side
    9,137.93x = 65,042,896.07
  5. Step 5: Solve for x
    x = 65,042,896.07/9,137.93
  6. Step 6: Final answer
    x = 7,117.90

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