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Finding the Fourth Proportional to 9,164.19, 13,750.17 and 6,205.97

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Solution

The fourth proportional to 9,164.19, 13,750.17 and 6,205.97 is: 9,311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.19 : 13,750.17 = 6,205.97 : x
  2. Step 2: Convert to fraction form
    9,164.19/13,750.17 = 6,205.97/x
  3. Step 3: Cross multiply
    9,164.19x = 13,750.17 × 6,205.97
  4. Step 4: Simplify right side
    9,164.19x = 85,333,073.76
  5. Step 5: Solve for x
    x = 85,333,073.76/9,164.19
  6. Step 6: Final answer
    x = 9,311.58

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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.