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Finding the Fourth Proportional to 9,118.17, 13,667.94 and 4,191.48

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Solution

The fourth proportional to 9,118.17, 13,667.94 and 4,191.48 is: 6,282.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.17 : 13,667.94 = 4,191.48 : x
  2. Step 2: Convert to fraction form
    9,118.17/13,667.94 = 4,191.48/x
  3. Step 3: Cross multiply
    9,118.17x = 13,667.94 × 4,191.48
  4. Step 4: Simplify right side
    9,118.17x = 57,288,897.15
  5. Step 5: Solve for x
    x = 57,288,897.15/9,118.17
  6. Step 6: Final answer
    x = 6,282.94

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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.