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Finding the Fourth Proportional to 9,662.49, 14,486.65 and 3,084.89

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Solution

The fourth proportional to 9,662.49, 14,486.65 and 3,084.89 is: 4,625.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.49 : 14,486.65 = 3,084.89 : x
  2. Step 2: Convert to fraction form
    9,662.49/14,486.65 = 3,084.89/x
  3. Step 3: Cross multiply
    9,662.49x = 14,486.65 × 3,084.89
  4. Step 4: Simplify right side
    9,662.49x = 44,689,641.57
  5. Step 5: Solve for x
    x = 44,689,641.57/9,662.49
  6. Step 6: Final answer
    x = 4,625.06

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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.