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Finding the Fourth Proportional to 9,084.96, 13,625.82 and 2,509.62

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Solution

The fourth proportional to 9,084.96, 13,625.82 and 2,509.62 is: 3,763.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.96 : 13,625.82 = 2,509.62 : x
  2. Step 2: Convert to fraction form
    9,084.96/13,625.82 = 2,509.62/x
  3. Step 3: Cross multiply
    9,084.96x = 13,625.82 × 2,509.62
  4. Step 4: Simplify right side
    9,084.96x = 34,195,630.39
  5. Step 5: Solve for x
    x = 34,195,630.39/9,084.96
  6. Step 6: Final answer
    x = 3,763.98

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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.