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Finding the Fourth Proportional to 9,892.69, 13,649.73 and 6,065.15

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Solution

The fourth proportional to 9,892.69, 13,649.73 and 6,065.15 is: 8,368.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.69 : 13,649.73 = 6,065.15 : x
  2. Step 2: Convert to fraction form
    9,892.69/13,649.73 = 6,065.15/x
  3. Step 3: Cross multiply
    9,892.69x = 13,649.73 × 6,065.15
  4. Step 4: Simplify right side
    9,892.69x = 82,787,568.92
  5. Step 5: Solve for x
    x = 82,787,568.92/9,892.69
  6. Step 6: Final answer
    x = 8,368.56

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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.