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Finding the Fourth Proportional to 9,692.24, 14,533 and 3,026.96

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Solution

The fourth proportional to 9,692.24, 14,533 and 3,026.96 is: 4,538.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.24 : 14,533 = 3,026.96 : x
  2. Step 2: Convert to fraction form
    9,692.24/14,533 = 3,026.96/x
  3. Step 3: Cross multiply
    9,692.24x = 14,533 × 3,026.96
  4. Step 4: Simplify right side
    9,692.24x = 43,990,809.68
  5. Step 5: Solve for x
    x = 43,990,809.68/9,692.24
  6. Step 6: Final answer
    x = 4,538.77

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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.