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Finding the Fourth Proportional to 9,791.08, 14,672.80 and 7,589.52

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Solution

The fourth proportional to 9,791.08, 14,672.80 and 7,589.52 is: 11,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.08 : 14,672.80 = 7,589.52 : x
  2. Step 2: Convert to fraction form
    9,791.08/14,672.80 = 7,589.52/x
  3. Step 3: Cross multiply
    9,791.08x = 14,672.80 × 7,589.52
  4. Step 4: Simplify right side
    9,791.08x = 111,359,509.06
  5. Step 5: Solve for x
    x = 111,359,509.06/9,791.08
  6. Step 6: Final answer
    x = 11,373.57

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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.