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Finding the Fourth Proportional to 9,275.67, 13,889.34 and 7,791.48

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Solution

The fourth proportional to 9,275.67, 13,889.34 and 7,791.48 is: 11,666.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.67 : 13,889.34 = 7,791.48 : x
  2. Step 2: Convert to fraction form
    9,275.67/13,889.34 = 7,791.48/x
  3. Step 3: Cross multiply
    9,275.67x = 13,889.34 × 7,791.48
  4. Step 4: Simplify right side
    9,275.67x = 108,218,514.82
  5. Step 5: Solve for x
    x = 108,218,514.82/9,275.67
  6. Step 6: Final answer
    x = 11,666.92

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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.