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Finding the Fourth Proportional to 9,514.87, 13,131.01 and 5,536.96

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Solution

The fourth proportional to 9,514.87, 13,131.01 and 5,536.96 is: 7,641.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.87 : 13,131.01 = 5,536.96 : x
  2. Step 2: Convert to fraction form
    9,514.87/13,131.01 = 5,536.96/x
  3. Step 3: Cross multiply
    9,514.87x = 13,131.01 × 5,536.96
  4. Step 4: Simplify right side
    9,514.87x = 72,705,851.22
  5. Step 5: Solve for x
    x = 72,705,851.22/9,514.87
  6. Step 6: Final answer
    x = 7,641.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.