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Finding the Fourth Proportional to 9,537.21, 14,283.95 and 8,997.75

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Solution

The fourth proportional to 9,537.21, 14,283.95 and 8,997.75 is: 13,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.21 : 14,283.95 = 8,997.75 : x
  2. Step 2: Convert to fraction form
    9,537.21/14,283.95 = 8,997.75/x
  3. Step 3: Cross multiply
    9,537.21x = 14,283.95 × 8,997.75
  4. Step 4: Simplify right side
    9,537.21x = 128,523,366.12
  5. Step 5: Solve for x
    x = 128,523,366.12/9,537.21
  6. Step 6: Final answer
    x = 13,475.99

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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.