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Finding the Fourth Proportional to 9,000.47, 13,499.09 and 2,758.97

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Solution

The fourth proportional to 9,000.47, 13,499.09 and 2,758.97 is: 4,137.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.47 : 13,499.09 = 2,758.97 : x
  2. Step 2: Convert to fraction form
    9,000.47/13,499.09 = 2,758.97/x
  3. Step 3: Cross multiply
    9,000.47x = 13,499.09 × 2,758.97
  4. Step 4: Simplify right side
    9,000.47x = 37,243,570.54
  5. Step 5: Solve for x
    x = 37,243,570.54/9,000.47
  6. Step 6: Final answer
    x = 4,137.96

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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.