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Finding the Fourth Proportional to 9,137.37, 12,609.77 and 5,158.25

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Solution

The fourth proportional to 9,137.37, 12,609.77 and 5,158.25 is: 7,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.37 : 12,609.77 = 5,158.25 : x
  2. Step 2: Convert to fraction form
    9,137.37/12,609.77 = 5,158.25/x
  3. Step 3: Cross multiply
    9,137.37x = 12,609.77 × 5,158.25
  4. Step 4: Simplify right side
    9,137.37x = 65,044,257.26
  5. Step 5: Solve for x
    x = 65,044,257.26/9,137.37
  6. Step 6: Final answer
    x = 7,118.49

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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.