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Finding the Fourth Proportional to 6,412.68, 8,849.48 and 3,618.16

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Solution

The fourth proportional to 6,412.68, 8,849.48 and 3,618.16 is: 4,993.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.68 : 8,849.48 = 3,618.16 : x
  2. Step 2: Convert to fraction form
    6,412.68/8,849.48 = 3,618.16/x
  3. Step 3: Cross multiply
    6,412.68x = 8,849.48 × 3,618.16
  4. Step 4: Simplify right side
    6,412.68x = 32,018,834.56
  5. Step 5: Solve for x
    x = 32,018,834.56/6,412.68
  6. Step 6: Final answer
    x = 4,993.05

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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.