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Finding the Fourth Proportional to 9,212.69, 13,807.89 and 6,540.08

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Solution

The fourth proportional to 9,212.69, 13,807.89 and 6,540.08 is: 9,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.69 : 13,807.89 = 6,540.08 : x
  2. Step 2: Convert to fraction form
    9,212.69/13,807.89 = 6,540.08/x
  3. Step 3: Cross multiply
    9,212.69x = 13,807.89 × 6,540.08
  4. Step 4: Simplify right side
    9,212.69x = 90,304,734.39
  5. Step 5: Solve for x
    x = 90,304,734.39/9,212.69
  6. Step 6: Final answer
    x = 9,802.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.