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Finding the Fourth Proportional to 9,627.80, 14,441.70 and 5,466.20

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Solution

The fourth proportional to 9,627.80, 14,441.70 and 5,466.20 is: 8,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.80 : 14,441.70 = 5,466.20 : x
  2. Step 2: Convert to fraction form
    9,627.80/14,441.70 = 5,466.20/x
  3. Step 3: Cross multiply
    9,627.80x = 14,441.70 × 5,466.20
  4. Step 4: Simplify right side
    9,627.80x = 78,941,220.54
  5. Step 5: Solve for x
    x = 78,941,220.54/9,627.80
  6. Step 6: Final answer
    x = 8,199.30

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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.