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Finding the Fourth Proportional to 9,537.06, 13,167.24 and 7,772.88

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Solution

The fourth proportional to 9,537.06, 13,167.24 and 7,772.88 is: 10,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.06 : 13,167.24 = 7,772.88 : x
  2. Step 2: Convert to fraction form
    9,537.06/13,167.24 = 7,772.88/x
  3. Step 3: Cross multiply
    9,537.06x = 13,167.24 × 7,772.88
  4. Step 4: Simplify right side
    9,537.06x = 102,347,376.45
  5. Step 5: Solve for x
    x = 102,347,376.45/9,537.06
  6. Step 6: Final answer
    x = 10,731.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.