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Finding the Fourth Proportional to 9,282.69, 13,929.44 and 3,736.53

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Solution

The fourth proportional to 9,282.69, 13,929.44 and 3,736.53 is: 5,606.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.69 : 13,929.44 = 3,736.53 : x
  2. Step 2: Convert to fraction form
    9,282.69/13,929.44 = 3,736.53/x
  3. Step 3: Cross multiply
    9,282.69x = 13,929.44 × 3,736.53
  4. Step 4: Simplify right side
    9,282.69x = 52,047,751.76
  5. Step 5: Solve for x
    x = 52,047,751.76/9,282.69
  6. Step 6: Final answer
    x = 5,606.97

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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.