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Finding the Fourth Proportional to 6,392.16, 9,589.78 and 2,009.62

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Solution

The fourth proportional to 6,392.16, 9,589.78 and 2,009.62 is: 3,014.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.16 : 9,589.78 = 2,009.62 : x
  2. Step 2: Convert to fraction form
    6,392.16/9,589.78 = 2,009.62/x
  3. Step 3: Cross multiply
    6,392.16x = 9,589.78 × 2,009.62
  4. Step 4: Simplify right side
    6,392.16x = 19,271,802.14
  5. Step 5: Solve for x
    x = 19,271,802.14/6,392.16
  6. Step 6: Final answer
    x = 3,014.91

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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.