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Finding the Fourth Proportional to 9,615.62, 14,420.64 and 3,692.09

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Solution

The fourth proportional to 9,615.62, 14,420.64 and 3,692.09 is: 5,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.62 : 14,420.64 = 3,692.09 : x
  2. Step 2: Convert to fraction form
    9,615.62/14,420.64 = 3,692.09/x
  3. Step 3: Cross multiply
    9,615.62x = 14,420.64 × 3,692.09
  4. Step 4: Simplify right side
    9,615.62x = 53,242,300.74
  5. Step 5: Solve for x
    x = 53,242,300.74/9,615.62
  6. Step 6: Final answer
    x = 5,537.06

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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.