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Finding the Fourth Proportional to 8,957.84, 12,335.22 and 6,435.50

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Solution

The fourth proportional to 8,957.84, 12,335.22 and 6,435.50 is: 8,861.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.84 : 12,335.22 = 6,435.50 : x
  2. Step 2: Convert to fraction form
    8,957.84/12,335.22 = 6,435.50/x
  3. Step 3: Cross multiply
    8,957.84x = 12,335.22 × 6,435.50
  4. Step 4: Simplify right side
    8,957.84x = 79,383,246.63
  5. Step 5: Solve for x
    x = 79,383,246.63/8,957.84
  6. Step 6: Final answer
    x = 8,861.88

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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.