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Finding the Fourth Proportional to 9,164.66, 13,746.53 and 5,367.43

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Solution

The fourth proportional to 9,164.66, 13,746.53 and 5,367.43 is: 8,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.66 : 13,746.53 = 5,367.43 : x
  2. Step 2: Convert to fraction form
    9,164.66/13,746.53 = 5,367.43/x
  3. Step 3: Cross multiply
    9,164.66x = 13,746.53 × 5,367.43
  4. Step 4: Simplify right side
    9,164.66x = 73,783,537.93
  5. Step 5: Solve for x
    x = 73,783,537.93/9,164.66
  6. Step 6: Final answer
    x = 8,050.88

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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.