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Finding the Fourth Proportional to 9,496.19, 13,102.49 and 5,514.93

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Solution

The fourth proportional to 9,496.19, 13,102.49 and 5,514.93 is: 7,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.19 : 13,102.49 = 5,514.93 : x
  2. Step 2: Convert to fraction form
    9,496.19/13,102.49 = 5,514.93/x
  3. Step 3: Cross multiply
    9,496.19x = 13,102.49 × 5,514.93
  4. Step 4: Simplify right side
    9,496.19x = 72,259,328.96
  5. Step 5: Solve for x
    x = 72,259,328.96/9,496.19
  6. Step 6: Final answer
    x = 7,609.29

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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.