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Finding the Fourth Proportional to 9,141.05, 12,614.88 and 5,606.21

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Solution

The fourth proportional to 9,141.05, 12,614.88 and 5,606.21 is: 7,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.05 : 12,614.88 = 5,606.21 : x
  2. Step 2: Convert to fraction form
    9,141.05/12,614.88 = 5,606.21/x
  3. Step 3: Cross multiply
    9,141.05x = 12,614.88 × 5,606.21
  4. Step 4: Simplify right side
    9,141.05x = 70,721,603.33
  5. Step 5: Solve for x
    x = 70,721,603.33/9,141.05
  6. Step 6: Final answer
    x = 7,736.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.