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Finding the Fourth Proportional to 9,137.41, 13,678.17 and 5,853.67

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Solution

The fourth proportional to 9,137.41, 13,678.17 and 5,853.67 is: 8,762.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.41 : 13,678.17 = 5,853.67 : x
  2. Step 2: Convert to fraction form
    9,137.41/13,678.17 = 5,853.67/x
  3. Step 3: Cross multiply
    9,137.41x = 13,678.17 × 5,853.67
  4. Step 4: Simplify right side
    9,137.41x = 80,067,493.38
  5. Step 5: Solve for x
    x = 80,067,493.38/9,137.41
  6. Step 6: Final answer
    x = 8,762.60

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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.