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Finding the Fourth Proportional to 9,110.60, 13,655.10 and 8,181.80

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Solution

The fourth proportional to 9,110.60, 13,655.10 and 8,181.80 is: 12,263.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.60 : 13,655.10 = 8,181.80 : x
  2. Step 2: Convert to fraction form
    9,110.60/13,655.10 = 8,181.80/x
  3. Step 3: Cross multiply
    9,110.60x = 13,655.10 × 8,181.80
  4. Step 4: Simplify right side
    9,110.60x = 111,723,297.18
  5. Step 5: Solve for x
    x = 111,723,297.18/9,110.60
  6. Step 6: Final answer
    x = 12,263.00

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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.