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Finding the Fourth Proportional to 9,617.94, 13,272.81 and 5,639.12

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Solution

The fourth proportional to 9,617.94, 13,272.81 and 5,639.12 is: 7,782.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.94 : 13,272.81 = 5,639.12 : x
  2. Step 2: Convert to fraction form
    9,617.94/13,272.81 = 5,639.12/x
  3. Step 3: Cross multiply
    9,617.94x = 13,272.81 × 5,639.12
  4. Step 4: Simplify right side
    9,617.94x = 74,846,962.31
  5. Step 5: Solve for x
    x = 74,846,962.31/9,617.94
  6. Step 6: Final answer
    x = 7,782.02

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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.