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Finding the Fourth Proportional to 6,534.94, 9,802.36 and 2,639.29

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Solution

The fourth proportional to 6,534.94, 9,802.36 and 2,639.29 is: 3,958.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.94 : 9,802.36 = 2,639.29 : x
  2. Step 2: Convert to fraction form
    6,534.94/9,802.36 = 2,639.29/x
  3. Step 3: Cross multiply
    6,534.94x = 9,802.36 × 2,639.29
  4. Step 4: Simplify right side
    6,534.94x = 25,871,270.72
  5. Step 5: Solve for x
    x = 25,871,270.72/6,534.94
  6. Step 6: Final answer
    x = 3,958.91

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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.