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Finding the Fourth Proportional to 9,501.75, 14,253.03 and 2,576.25

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Solution

The fourth proportional to 9,501.75, 14,253.03 and 2,576.25 is: 3,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.75 : 14,253.03 = 2,576.25 : x
  2. Step 2: Convert to fraction form
    9,501.75/14,253.03 = 2,576.25/x
  3. Step 3: Cross multiply
    9,501.75x = 14,253.03 × 2,576.25
  4. Step 4: Simplify right side
    9,501.75x = 36,719,368.54
  5. Step 5: Solve for x
    x = 36,719,368.54/9,501.75
  6. Step 6: Final answer
    x = 3,864.48

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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.