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Finding the Fourth Proportional to 9,148.34, 12,614.69 and 5,955.75

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Solution

The fourth proportional to 9,148.34, 12,614.69 and 5,955.75 is: 8,212.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148.34 : 12,614.69 = 5,955.75 : x
  2. Step 2: Convert to fraction form
    9,148.34/12,614.69 = 5,955.75/x
  3. Step 3: Cross multiply
    9,148.34x = 12,614.69 × 5,955.75
  4. Step 4: Simplify right side
    9,148.34x = 75,129,939.97
  5. Step 5: Solve for x
    x = 75,129,939.97/9,148.34
  6. Step 6: Final answer
    x = 8,212.41

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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.