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Finding the Fourth Proportional to 6,412.32, 8,849.28 and 3,618.72

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Solution

The fourth proportional to 6,412.32, 8,849.28 and 3,618.72 is: 4,993.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.32 : 8,849.28 = 3,618.72 : x
  2. Step 2: Convert to fraction form
    6,412.32/8,849.28 = 3,618.72/x
  3. Step 3: Cross multiply
    6,412.32x = 8,849.28 × 3,618.72
  4. Step 4: Simplify right side
    6,412.32x = 32,023,066.52
  5. Step 5: Solve for x
    x = 32,023,066.52/6,412.32
  6. Step 6: Final answer
    x = 4,993.99

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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.