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Finding the Fourth Proportional to 9,555.60, 14,344.20 and 5,662.20

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Solution

The fourth proportional to 9,555.60, 14,344.20 and 5,662.20 is: 8,499.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,555.60 : 14,344.20 = 5,662.20 : x
  2. Step 2: Convert to fraction form
    9,555.60/14,344.20 = 5,662.20/x
  3. Step 3: Cross multiply
    9,555.60x = 14,344.20 × 5,662.20
  4. Step 4: Simplify right side
    9,555.60x = 81,219,729.24
  5. Step 5: Solve for x
    x = 81,219,729.24/9,555.60
  6. Step 6: Final answer
    x = 8,499.70

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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.