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Finding the Fourth Proportional to 9,507.54, 14,257.67 and 6,576.96

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Solution

The fourth proportional to 9,507.54, 14,257.67 and 6,576.96 is: 9,862.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.54 : 14,257.67 = 6,576.96 : x
  2. Step 2: Convert to fraction form
    9,507.54/14,257.67 = 6,576.96/x
  3. Step 3: Cross multiply
    9,507.54x = 14,257.67 × 6,576.96
  4. Step 4: Simplify right side
    9,507.54x = 93,772,092.40
  5. Step 5: Solve for x
    x = 93,772,092.40/9,507.54
  6. Step 6: Final answer
    x = 9,862.92

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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.