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Finding the Fourth Proportional to 9,656.20, 14,480.70 and 3,811.60

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Solution

The fourth proportional to 9,656.20, 14,480.70 and 3,811.60 is: 5,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.20 : 14,480.70 = 3,811.60 : x
  2. Step 2: Convert to fraction form
    9,656.20/14,480.70 = 3,811.60/x
  3. Step 3: Cross multiply
    9,656.20x = 14,480.70 × 3,811.60
  4. Step 4: Simplify right side
    9,656.20x = 55,194,636.12
  5. Step 5: Solve for x
    x = 55,194,636.12/9,656.20
  6. Step 6: Final answer
    x = 5,715.98

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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.