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Finding the Fourth Proportional to 9,148.49, 13,718.84 and 2,906.82

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Solution

The fourth proportional to 9,148.49, 13,718.84 and 2,906.82 is: 4,358.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.49 : 13,718.84 = 2,906.82 : x
  2. Step 2: Convert to fraction form
    9,148.49/13,718.84 = 2,906.82/x
  3. Step 3: Cross multiply
    9,148.49x = 13,718.84 × 2,906.82
  4. Step 4: Simplify right side
    9,148.49x = 39,878,183.95
  5. Step 5: Solve for x
    x = 39,878,183.95/9,148.49
  6. Step 6: Final answer
    x = 4,358.99

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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.