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Finding the Fourth Proportional to 9,148.95, 13,722 and 2,908.14

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Solution

The fourth proportional to 9,148.95, 13,722 and 2,908.14 is: 4,361.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.95 : 13,722 = 2,908.14 : x
  2. Step 2: Convert to fraction form
    9,148.95/13,722 = 2,908.14/x
  3. Step 3: Cross multiply
    9,148.95x = 13,722 × 2,908.14
  4. Step 4: Simplify right side
    9,148.95x = 39,905,497.08
  5. Step 5: Solve for x
    x = 39,905,497.08/9,148.95
  6. Step 6: Final answer
    x = 4,361.76

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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.