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Finding the Fourth Proportional to 9,932.50, 13,706.35 and 5,952.84

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Solution

The fourth proportional to 9,932.50, 13,706.35 and 5,952.84 is: 8,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,932.50 : 13,706.35 = 5,952.84 : x
  2. Step 2: Convert to fraction form
    9,932.50/13,706.35 = 5,952.84/x
  3. Step 3: Cross multiply
    9,932.50x = 13,706.35 × 5,952.84
  4. Step 4: Simplify right side
    9,932.50x = 81,591,708.53
  5. Step 5: Solve for x
    x = 81,591,708.53/9,932.50
  6. Step 6: Final answer
    x = 8,214.62

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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.