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Finding the Fourth Proportional to 9,537.55, 14,302.73 and 3,991.28

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Solution

The fourth proportional to 9,537.55, 14,302.73 and 3,991.28 is: 5,985.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.55 : 14,302.73 = 3,991.28 : x
  2. Step 2: Convert to fraction form
    9,537.55/14,302.73 = 3,991.28/x
  3. Step 3: Cross multiply
    9,537.55x = 14,302.73 × 3,991.28
  4. Step 4: Simplify right side
    9,537.55x = 57,086,116.21
  5. Step 5: Solve for x
    x = 57,086,116.21/9,537.55
  6. Step 6: Final answer
    x = 5,985.41

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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.