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Finding the Fourth Proportional to 9,137.97, 13,712.59 and 3,590.33

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Solution

The fourth proportional to 9,137.97, 13,712.59 and 3,590.33 is: 5,387.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.97 : 13,712.59 = 3,590.33 : x
  2. Step 2: Convert to fraction form
    9,137.97/13,712.59 = 3,590.33/x
  3. Step 3: Cross multiply
    9,137.97x = 13,712.59 × 3,590.33
  4. Step 4: Simplify right side
    9,137.97x = 49,232,748.56
  5. Step 5: Solve for x
    x = 49,232,748.56/9,137.97
  6. Step 6: Final answer
    x = 5,387.71

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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.