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Finding the Fourth Proportional to 9,538.84, 14,302.32 and 3,692.80

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Solution

The fourth proportional to 9,538.84, 14,302.32 and 3,692.80 is: 5,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.84 : 14,302.32 = 3,692.80 : x
  2. Step 2: Convert to fraction form
    9,538.84/14,302.32 = 3,692.80/x
  3. Step 3: Cross multiply
    9,538.84x = 14,302.32 × 3,692.80
  4. Step 4: Simplify right side
    9,538.84x = 52,815,607.30
  5. Step 5: Solve for x
    x = 52,815,607.30/9,538.84
  6. Step 6: Final answer
    x = 5,536.90

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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.