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Finding the Fourth Proportional to 9,537.58, 14,316.09 and 6,576.22

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Solution

The fourth proportional to 9,537.58, 14,316.09 and 6,576.22 is: 9,871.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,537.58 : 14,316.09 = 6,576.22 : x
  2. Step 2: Convert to fraction form
    9,537.58/14,316.09 = 6,576.22/x
  3. Step 3: Cross multiply
    9,537.58x = 14,316.09 × 6,576.22
  4. Step 4: Simplify right side
    9,537.58x = 94,145,757.38
  5. Step 5: Solve for x
    x = 94,145,757.38/9,537.58
  6. Step 6: Final answer
    x = 9,871.03

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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.