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Finding the Fourth Proportional to 9,277.62, 13,926.74 and 3,734.84

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Solution

The fourth proportional to 9,277.62, 13,926.74 and 3,734.84 is: 5,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.62 : 13,926.74 = 3,734.84 : x
  2. Step 2: Convert to fraction form
    9,277.62/13,926.74 = 3,734.84/x
  3. Step 3: Cross multiply
    9,277.62x = 13,926.74 × 3,734.84
  4. Step 4: Simplify right side
    9,277.62x = 52,014,057.31
  5. Step 5: Solve for x
    x = 52,014,057.31/9,277.62
  6. Step 6: Final answer
    x = 5,606.40

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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.