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Finding the Fourth Proportional to 9,160.49, 13,741.74 and 2,919.04

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Solution

The fourth proportional to 9,160.49, 13,741.74 and 2,919.04 is: 4,378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.49 : 13,741.74 = 2,919.04 : x
  2. Step 2: Convert to fraction form
    9,160.49/13,741.74 = 2,919.04/x
  3. Step 3: Cross multiply
    9,160.49x = 13,741.74 × 2,919.04
  4. Step 4: Simplify right side
    9,160.49x = 40,112,688.73
  5. Step 5: Solve for x
    x = 40,112,688.73/9,160.49
  6. Step 6: Final answer
    x = 4,378.88

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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.