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Finding the Fourth Proportional to 9,131.84, 13,686.78 and 4,194.68

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Solution

The fourth proportional to 9,131.84, 13,686.78 and 4,194.68 is: 6,286.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.84 : 13,686.78 = 4,194.68 : x
  2. Step 2: Convert to fraction form
    9,131.84/13,686.78 = 4,194.68/x
  3. Step 3: Cross multiply
    9,131.84x = 13,686.78 × 4,194.68
  4. Step 4: Simplify right side
    9,131.84x = 57,411,662.33
  5. Step 5: Solve for x
    x = 57,411,662.33/9,131.84
  6. Step 6: Final answer
    x = 6,286.98

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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.