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Finding the Fourth Proportional to 9,722.80, 14,575 and 3,145.60

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Solution

The fourth proportional to 9,722.80, 14,575 and 3,145.60 is: 4,715.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.80 : 14,575 = 3,145.60 : x
  2. Step 2: Convert to fraction form
    9,722.80/14,575 = 3,145.60/x
  3. Step 3: Cross multiply
    9,722.80x = 14,575 × 3,145.60
  4. Step 4: Simplify right side
    9,722.80x = 45,847,120
  5. Step 5: Solve for x
    x = 45,847,120/9,722.80
  6. Step 6: Final answer
    x = 4,715.42

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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.