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Finding the Fourth Proportional to 9,206.56, 13,802.10 and 3,359.80

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Solution

The fourth proportional to 9,206.56, 13,802.10 and 3,359.80 is: 5,036.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.56 : 13,802.10 = 3,359.80 : x
  2. Step 2: Convert to fraction form
    9,206.56/13,802.10 = 3,359.80/x
  3. Step 3: Cross multiply
    9,206.56x = 13,802.10 × 3,359.80
  4. Step 4: Simplify right side
    9,206.56x = 46,372,295.58
  5. Step 5: Solve for x
    x = 46,372,295.58/9,206.56
  6. Step 6: Final answer
    x = 5,036.88

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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.