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Finding the Fourth Proportional to 11,346.94, 15,653.70 and 6,629.14

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Solution

The fourth proportional to 11,346.94, 15,653.70 and 6,629.14 is: 9,145.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,346.94 : 15,653.70 = 6,629.14 : x
  2. Step 2: Convert to fraction form
    11,346.94/15,653.70 = 6,629.14/x
  3. Step 3: Cross multiply
    11,346.94x = 15,653.70 × 6,629.14
  4. Step 4: Simplify right side
    11,346.94x = 103,770,568.82
  5. Step 5: Solve for x
    x = 103,770,568.82/11,346.94
  6. Step 6: Final answer
    x = 9,145.25

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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.