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Finding the Fourth Proportional to 9,205.23, 12,688.04 and 6,512.97

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Solution

The fourth proportional to 9,205.23, 12,688.04 and 6,512.97 is: 8,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.23 : 12,688.04 = 6,512.97 : x
  2. Step 2: Convert to fraction form
    9,205.23/12,688.04 = 6,512.97/x
  3. Step 3: Cross multiply
    9,205.23x = 12,688.04 × 6,512.97
  4. Step 4: Simplify right side
    9,205.23x = 82,636,840.16
  5. Step 5: Solve for x
    x = 82,636,840.16/9,205.23
  6. Step 6: Final answer
    x = 8,977.16

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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.