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Finding the Fourth Proportional to 9,563.13, 14,323.82 and 6,781.37

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Solution

The fourth proportional to 9,563.13, 14,323.82 and 6,781.37 is: 10,157.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.13 : 14,323.82 = 6,781.37 : x
  2. Step 2: Convert to fraction form
    9,563.13/14,323.82 = 6,781.37/x
  3. Step 3: Cross multiply
    9,563.13x = 14,323.82 × 6,781.37
  4. Step 4: Simplify right side
    9,563.13x = 97,135,017.71
  5. Step 5: Solve for x
    x = 97,135,017.71/9,563.13
  6. Step 6: Final answer
    x = 10,157.24

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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.