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Finding the Fourth Proportional to 9,692.29, 13,374.21 and 5,443.57

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Solution

The fourth proportional to 9,692.29, 13,374.21 and 5,443.57 is: 7,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.29 : 13,374.21 = 5,443.57 : x
  2. Step 2: Convert to fraction form
    9,692.29/13,374.21 = 5,443.57/x
  3. Step 3: Cross multiply
    9,692.29x = 13,374.21 × 5,443.57
  4. Step 4: Simplify right side
    9,692.29x = 72,803,448.33
  5. Step 5: Solve for x
    x = 72,803,448.33/9,692.29
  6. Step 6: Final answer
    x = 7,511.48

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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.