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Finding the Fourth Proportional to 9,609.83, 14,416.22 and 4,063.19

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Solution

The fourth proportional to 9,609.83, 14,416.22 and 4,063.19 is: 6,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.83 : 14,416.22 = 4,063.19 : x
  2. Step 2: Convert to fraction form
    9,609.83/14,416.22 = 4,063.19/x
  3. Step 3: Cross multiply
    9,609.83x = 14,416.22 × 4,063.19
  4. Step 4: Simplify right side
    9,609.83x = 58,575,887.14
  5. Step 5: Solve for x
    x = 58,575,887.14/9,609.83
  6. Step 6: Final answer
    x = 6,095.42

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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.