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Finding the Fourth Proportional to 9,074.43, 13,609.06 and 3,810.63

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Solution

The fourth proportional to 9,074.43, 13,609.06 and 3,810.63 is: 5,714.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,074.43 : 13,609.06 = 3,810.63 : x
  2. Step 2: Convert to fraction form
    9,074.43/13,609.06 = 3,810.63/x
  3. Step 3: Cross multiply
    9,074.43x = 13,609.06 × 3,810.63
  4. Step 4: Simplify right side
    9,074.43x = 51,859,031.75
  5. Step 5: Solve for x
    x = 51,859,031.75/9,074.43
  6. Step 6: Final answer
    x = 5,714.85

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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.