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Finding the Fourth Proportional to 9,627.80, 14,449 and 6,500.40

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Solution

The fourth proportional to 9,627.80, 14,449 and 6,500.40 is: 9,755.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.80 : 14,449 = 6,500.40 : x
  2. Step 2: Convert to fraction form
    9,627.80/14,449 = 6,500.40/x
  3. Step 3: Cross multiply
    9,627.80x = 14,449 × 6,500.40
  4. Step 4: Simplify right side
    9,627.80x = 93,924,279.60
  5. Step 5: Solve for x
    x = 93,924,279.60/9,627.80
  6. Step 6: Final answer
    x = 9,755.53

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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.