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Finding the Fourth Proportional to 9,618.40, 14,427.60 and 5,471.20

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Solution

The fourth proportional to 9,618.40, 14,427.60 and 5,471.20 is: 8,206.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.40 : 14,427.60 = 5,471.20 : x
  2. Step 2: Convert to fraction form
    9,618.40/14,427.60 = 5,471.20/x
  3. Step 3: Cross multiply
    9,618.40x = 14,427.60 × 5,471.20
  4. Step 4: Simplify right side
    9,618.40x = 78,936,285.12
  5. Step 5: Solve for x
    x = 78,936,285.12/9,618.40
  6. Step 6: Final answer
    x = 8,206.80

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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.