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Finding the Fourth Proportional to 9,077.94, 13,609.62 and 4,145.04

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Solution

The fourth proportional to 9,077.94, 13,609.62 and 4,145.04 is: 6,214.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.94 : 13,609.62 = 4,145.04 : x
  2. Step 2: Convert to fraction form
    9,077.94/13,609.62 = 4,145.04/x
  3. Step 3: Cross multiply
    9,077.94x = 13,609.62 × 4,145.04
  4. Step 4: Simplify right side
    9,077.94x = 56,412,419.28
  5. Step 5: Solve for x
    x = 56,412,419.28/9,077.94
  6. Step 6: Final answer
    x = 6,214.23

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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.