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Finding the Fourth Proportional to 9,188.13, 12,674.27 and 6,667.31

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Solution

The fourth proportional to 9,188.13, 12,674.27 and 6,667.31 is: 9,197.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.13 : 12,674.27 = 6,667.31 : x
  2. Step 2: Convert to fraction form
    9,188.13/12,674.27 = 6,667.31/x
  3. Step 3: Cross multiply
    9,188.13x = 12,674.27 × 6,667.31
  4. Step 4: Simplify right side
    9,188.13x = 84,503,335.47
  5. Step 5: Solve for x
    x = 84,503,335.47/9,188.13
  6. Step 6: Final answer
    x = 9,197.01

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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.