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Finding the Fourth Proportional to 9,470.67, 13,059.27 and 6,447.75

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Solution

The fourth proportional to 9,470.67, 13,059.27 and 6,447.75 is: 8,890.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.67 : 13,059.27 = 6,447.75 : x
  2. Step 2: Convert to fraction form
    9,470.67/13,059.27 = 6,447.75/x
  3. Step 3: Cross multiply
    9,470.67x = 13,059.27 × 6,447.75
  4. Step 4: Simplify right side
    9,470.67x = 84,202,908.14
  5. Step 5: Solve for x
    x = 84,202,908.14/9,470.67
  6. Step 6: Final answer
    x = 8,890.91

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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.