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Finding the Fourth Proportional to 9,089.10, 13,635.17 and 2,847.65

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Solution

The fourth proportional to 9,089.10, 13,635.17 and 2,847.65 is: 4,271.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,089.10 : 13,635.17 = 2,847.65 : x
  2. Step 2: Convert to fraction form
    9,089.10/13,635.17 = 2,847.65/x
  3. Step 3: Cross multiply
    9,089.10x = 13,635.17 × 2,847.65
  4. Step 4: Simplify right side
    9,089.10x = 38,828,109.44
  5. Step 5: Solve for x
    x = 38,828,109.44/9,089.10
  6. Step 6: Final answer
    x = 4,271.94

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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.