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Finding the Fourth Proportional to 9,611.10, 14,416.65 and 8,809.20

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Solution

The fourth proportional to 9,611.10, 14,416.65 and 8,809.20 is: 13,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,611.10 : 14,416.65 = 8,809.20 : x
  2. Step 2: Convert to fraction form
    9,611.10/14,416.65 = 8,809.20/x
  3. Step 3: Cross multiply
    9,611.10x = 14,416.65 × 8,809.20
  4. Step 4: Simplify right side
    9,611.10x = 126,999,153.18
  5. Step 5: Solve for x
    x = 126,999,153.18/9,611.10
  6. Step 6: Final answer
    x = 13,213.80

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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.