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Finding the Fourth Proportional to 9,812.69, 13,539.14 and 6,226.34

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Solution

The fourth proportional to 9,812.69, 13,539.14 and 6,226.34 is: 8,590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.69 : 13,539.14 = 6,226.34 : x
  2. Step 2: Convert to fraction form
    9,812.69/13,539.14 = 6,226.34/x
  3. Step 3: Cross multiply
    9,812.69x = 13,539.14 × 6,226.34
  4. Step 4: Simplify right side
    9,812.69x = 84,299,190.12
  5. Step 5: Solve for x
    x = 84,299,190.12/9,812.69
  6. Step 6: Final answer
    x = 8,590.84

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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.