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Finding the Fourth Proportional to 6,388.34, 9,581.88 and 2,005.68

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Solution

The fourth proportional to 6,388.34, 9,581.88 and 2,005.68 is: 3,008.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.34 : 9,581.88 = 2,005.68 : x
  2. Step 2: Convert to fraction form
    6,388.34/9,581.88 = 2,005.68/x
  3. Step 3: Cross multiply
    6,388.34x = 9,581.88 × 2,005.68
  4. Step 4: Simplify right side
    6,388.34x = 19,218,185.08
  5. Step 5: Solve for x
    x = 19,218,185.08/6,388.34
  6. Step 6: Final answer
    x = 3,008.32

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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.