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Finding the Fourth Proportional to 9,954.18, 13,743.18 and 6,182.80

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Solution

The fourth proportional to 9,954.18, 13,743.18 and 6,182.80 is: 8,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.18 : 13,743.18 = 6,182.80 : x
  2. Step 2: Convert to fraction form
    9,954.18/13,743.18 = 6,182.80/x
  3. Step 3: Cross multiply
    9,954.18x = 13,743.18 × 6,182.80
  4. Step 4: Simplify right side
    9,954.18x = 84,971,327.30
  5. Step 5: Solve for x
    x = 84,971,327.30/9,954.18
  6. Step 6: Final answer
    x = 8,536.25

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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.