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Finding the Fourth Proportional to 9,679.97, 14,518.21 and 2,564.25

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Solution

The fourth proportional to 9,679.97, 14,518.21 and 2,564.25 is: 3,845.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.97 : 14,518.21 = 2,564.25 : x
  2. Step 2: Convert to fraction form
    9,679.97/14,518.21 = 2,564.25/x
  3. Step 3: Cross multiply
    9,679.97x = 14,518.21 × 2,564.25
  4. Step 4: Simplify right side
    9,679.97x = 37,228,313.58
  5. Step 5: Solve for x
    x = 37,228,313.58/9,679.97
  6. Step 6: Final answer
    x = 3,845.91

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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.