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Finding the Fourth Proportional to 9,137.58, 13,697.73 and 3,292.62

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Solution

The fourth proportional to 9,137.58, 13,697.73 and 3,292.62 is: 4,935.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.58 : 13,697.73 = 3,292.62 : x
  2. Step 2: Convert to fraction form
    9,137.58/13,697.73 = 3,292.62/x
  3. Step 3: Cross multiply
    9,137.58x = 13,697.73 × 3,292.62
  4. Step 4: Simplify right side
    9,137.58x = 45,101,419.75
  5. Step 5: Solve for x
    x = 45,101,419.75/9,137.58
  6. Step 6: Final answer
    x = 4,935.82

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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.