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Finding the Fourth Proportional to 9,535.18, 13,153.87 and 8,274.46

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Solution

The fourth proportional to 9,535.18, 13,153.87 and 8,274.46 is: 11,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,535.18 : 13,153.87 = 8,274.46 : x
  2. Step 2: Convert to fraction form
    9,535.18/13,153.87 = 8,274.46/x
  3. Step 3: Cross multiply
    9,535.18x = 13,153.87 × 8,274.46
  4. Step 4: Simplify right side
    9,535.18x = 108,841,193.70
  5. Step 5: Solve for x
    x = 108,841,193.70/9,535.18
  6. Step 6: Final answer
    x = 11,414.70

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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.