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Finding the Fourth Proportional to 9,146.04, 13,722.66 and 8,419.56

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Solution

The fourth proportional to 9,146.04, 13,722.66 and 8,419.56 is: 12,632.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.04 : 13,722.66 = 8,419.56 : x
  2. Step 2: Convert to fraction form
    9,146.04/13,722.66 = 8,419.56/x
  3. Step 3: Cross multiply
    9,146.04x = 13,722.66 × 8,419.56
  4. Step 4: Simplify right side
    9,146.04x = 115,538,759.23
  5. Step 5: Solve for x
    x = 115,538,759.23/9,146.04
  6. Step 6: Final answer
    x = 12,632.65

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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.