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Finding the Fourth Proportional to 9,206.16, 12,699.12 and 6,685.32

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Solution

The fourth proportional to 9,206.16, 12,699.12 and 6,685.32 is: 9,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.16 : 12,699.12 = 6,685.32 : x
  2. Step 2: Convert to fraction form
    9,206.16/12,699.12 = 6,685.32/x
  3. Step 3: Cross multiply
    9,206.16x = 12,699.12 × 6,685.32
  4. Step 4: Simplify right side
    9,206.16x = 84,897,680.92
  5. Step 5: Solve for x
    x = 84,897,680.92/9,206.16
  6. Step 6: Final answer
    x = 9,221.83

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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.