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Finding the Fourth Proportional to 9,657.80, 14,487.48 and 3,084.92

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Solution

The fourth proportional to 9,657.80, 14,487.48 and 3,084.92 is: 4,627.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.80 : 14,487.48 = 3,084.92 : x
  2. Step 2: Convert to fraction form
    9,657.80/14,487.48 = 3,084.92/x
  3. Step 3: Cross multiply
    9,657.80x = 14,487.48 × 3,084.92
  4. Step 4: Simplify right side
    9,657.80x = 44,692,716.80
  5. Step 5: Solve for x
    x = 44,692,716.80/9,657.80
  6. Step 6: Final answer
    x = 4,627.63

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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.