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Finding the Fourth Proportional to 9,445.68, 14,166.09 and 4,514.40

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Solution

The fourth proportional to 9,445.68, 14,166.09 and 4,514.40 is: 6,770.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,445.68 : 14,166.09 = 4,514.40 : x
  2. Step 2: Convert to fraction form
    9,445.68/14,166.09 = 4,514.40/x
  3. Step 3: Cross multiply
    9,445.68x = 14,166.09 × 4,514.40
  4. Step 4: Simplify right side
    9,445.68x = 63,951,396.70
  5. Step 5: Solve for x
    x = 63,951,396.70/9,445.68
  6. Step 6: Final answer
    x = 6,770.44

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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.