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Finding the Fourth Proportional to 9,154.40, 13,736.19 and 3,611.72

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Solution

The fourth proportional to 9,154.40, 13,736.19 and 3,611.72 is: 5,419.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.40 : 13,736.19 = 3,611.72 : x
  2. Step 2: Convert to fraction form
    9,154.40/13,736.19 = 3,611.72/x
  3. Step 3: Cross multiply
    9,154.40x = 13,736.19 × 3,611.72
  4. Step 4: Simplify right side
    9,154.40x = 49,611,203.47
  5. Step 5: Solve for x
    x = 49,611,203.47/9,154.40
  6. Step 6: Final answer
    x = 5,419.39

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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.