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Finding the Fourth Proportional to 9,514.76, 13,131.06 and 5,324.36

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Solution

The fourth proportional to 9,514.76, 13,131.06 and 5,324.36 is: 7,348.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.76 : 13,131.06 = 5,324.36 : x
  2. Step 2: Convert to fraction form
    9,514.76/13,131.06 = 5,324.36/x
  3. Step 3: Cross multiply
    9,514.76x = 13,131.06 × 5,324.36
  4. Step 4: Simplify right side
    9,514.76x = 69,914,490.62
  5. Step 5: Solve for x
    x = 69,914,490.62/9,514.76
  6. Step 6: Final answer
    x = 7,348.00

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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.