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Finding the Fourth Proportional to 9,150.40, 13,729.20 and 3,602.80

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Solution

The fourth proportional to 9,150.40, 13,729.20 and 3,602.80 is: 5,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.40 : 13,729.20 = 3,602.80 : x
  2. Step 2: Convert to fraction form
    9,150.40/13,729.20 = 3,602.80/x
  3. Step 3: Cross multiply
    9,150.40x = 13,729.20 × 3,602.80
  4. Step 4: Simplify right side
    9,150.40x = 49,463,561.76
  5. Step 5: Solve for x
    x = 49,463,561.76/9,150.40
  6. Step 6: Final answer
    x = 5,405.62

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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.