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Finding the Fourth Proportional to 6,460.23, 8,914.42 and 3,627.91

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Solution

The fourth proportional to 6,460.23, 8,914.42 and 3,627.91 is: 5,006.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,460.23 : 8,914.42 = 3,627.91 : x
  2. Step 2: Convert to fraction form
    6,460.23/8,914.42 = 3,627.91/x
  3. Step 3: Cross multiply
    6,460.23x = 8,914.42 × 3,627.91
  4. Step 4: Simplify right side
    6,460.23x = 32,340,729.14
  5. Step 5: Solve for x
    x = 32,340,729.14/6,460.23
  6. Step 6: Final answer
    x = 5,006.13

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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.