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Finding the Fourth Proportional to 6,589.14, 9,883.74 and 1,909.44

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Solution

The fourth proportional to 6,589.14, 9,883.74 and 1,909.44 is: 2,864.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.14 : 9,883.74 = 1,909.44 : x
  2. Step 2: Convert to fraction form
    6,589.14/9,883.74 = 1,909.44/x
  3. Step 3: Cross multiply
    6,589.14x = 9,883.74 × 1,909.44
  4. Step 4: Simplify right side
    6,589.14x = 18,872,408.51
  5. Step 5: Solve for x
    x = 18,872,408.51/6,589.14
  6. Step 6: Final answer
    x = 2,864.17

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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.