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Finding the Fourth Proportional to 9,315.96, 12,852.27 and 5,957.97

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Solution

The fourth proportional to 9,315.96, 12,852.27 and 5,957.97 is: 8,219.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.96 : 12,852.27 = 5,957.97 : x
  2. Step 2: Convert to fraction form
    9,315.96/12,852.27 = 5,957.97/x
  3. Step 3: Cross multiply
    9,315.96x = 12,852.27 × 5,957.97
  4. Step 4: Simplify right side
    9,315.96x = 76,573,439.09
  5. Step 5: Solve for x
    x = 76,573,439.09/9,315.96
  6. Step 6: Final answer
    x = 8,219.60

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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.