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Finding the Fourth Proportional to 9,791.64, 14,673.18 and 4,528.26

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Solution

The fourth proportional to 9,791.64, 14,673.18 and 4,528.26 is: 6,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.64 : 14,673.18 = 4,528.26 : x
  2. Step 2: Convert to fraction form
    9,791.64/14,673.18 = 4,528.26/x
  3. Step 3: Cross multiply
    9,791.64x = 14,673.18 × 4,528.26
  4. Step 4: Simplify right side
    9,791.64x = 66,443,974.07
  5. Step 5: Solve for x
    x = 66,443,974.07/9,791.64
  6. Step 6: Final answer
    x = 6,785.79

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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.