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Finding the Fourth Proportional to 9,564.66, 14,347.82 and 2,639.16

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Solution

The fourth proportional to 9,564.66, 14,347.82 and 2,639.16 is: 3,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.66 : 14,347.82 = 2,639.16 : x
  2. Step 2: Convert to fraction form
    9,564.66/14,347.82 = 2,639.16/x
  3. Step 3: Cross multiply
    9,564.66x = 14,347.82 × 2,639.16
  4. Step 4: Simplify right side
    9,564.66x = 37,866,179.44
  5. Step 5: Solve for x
    x = 37,866,179.44/9,564.66
  6. Step 6: Final answer
    x = 3,958.97

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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.