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Finding the Fourth Proportional to 9,180.77, 13,729.13 and 6,842.40

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Solution

The fourth proportional to 9,180.77, 13,729.13 and 6,842.40 is: 10,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.77 : 13,729.13 = 6,842.40 : x
  2. Step 2: Convert to fraction form
    9,180.77/13,729.13 = 6,842.40/x
  3. Step 3: Cross multiply
    9,180.77x = 13,729.13 × 6,842.40
  4. Step 4: Simplify right side
    9,180.77x = 93,940,164.90
  5. Step 5: Solve for x
    x = 93,940,164.90/9,180.77
  6. Step 6: Final answer
    x = 10,232.28

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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.