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Finding the Fourth Proportional to 9,633.60, 14,416.80 and 5,740.80

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Solution

The fourth proportional to 9,633.60, 14,416.80 and 5,740.80 is: 8,591.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.60 : 14,416.80 = 5,740.80 : x
  2. Step 2: Convert to fraction form
    9,633.60/14,416.80 = 5,740.80/x
  3. Step 3: Cross multiply
    9,633.60x = 14,416.80 × 5,740.80
  4. Step 4: Simplify right side
    9,633.60x = 82,763,965.44
  5. Step 5: Solve for x
    x = 82,763,965.44/9,633.60
  6. Step 6: Final answer
    x = 8,591.18

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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.