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Finding the Fourth Proportional to 9,609.93, 14,415.62 and 2,684.25

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Solution

The fourth proportional to 9,609.93, 14,415.62 and 2,684.25 is: 4,026.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.93 : 14,415.62 = 2,684.25 : x
  2. Step 2: Convert to fraction form
    9,609.93/14,415.62 = 2,684.25/x
  3. Step 3: Cross multiply
    9,609.93x = 14,415.62 × 2,684.25
  4. Step 4: Simplify right side
    9,609.93x = 38,695,114.56
  5. Step 5: Solve for x
    x = 38,695,114.56/9,609.93
  6. Step 6: Final answer
    x = 4,026.58

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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.