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Finding the Fourth Proportional to 9,539.01, 14,304.56 and 3,692.25

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Solution

The fourth proportional to 9,539.01, 14,304.56 and 3,692.25 is: 5,536.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.01 : 14,304.56 = 3,692.25 : x
  2. Step 2: Convert to fraction form
    9,539.01/14,304.56 = 3,692.25/x
  3. Step 3: Cross multiply
    9,539.01x = 14,304.56 × 3,692.25
  4. Step 4: Simplify right side
    9,539.01x = 52,815,993.20
  5. Step 5: Solve for x
    x = 52,815,993.20/9,539.01
  6. Step 6: Final answer
    x = 5,536.84

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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.