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Finding the Fourth Proportional to 8,301.32, 11,470.41 and 6,636.47

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Solution

The fourth proportional to 8,301.32, 11,470.41 and 6,636.47 is: 9,169.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.32 : 11,470.41 = 6,636.47 : x
  2. Step 2: Convert to fraction form
    8,301.32/11,470.41 = 6,636.47/x
  3. Step 3: Cross multiply
    8,301.32x = 11,470.41 × 6,636.47
  4. Step 4: Simplify right side
    8,301.32x = 76,122,974.50
  5. Step 5: Solve for x
    x = 76,122,974.50/8,301.32
  6. Step 6: Final answer
    x = 9,169.99

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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.