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Finding the Fourth Proportional to 9,503.75, 14,253.98 and 2,576.63

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Solution

The fourth proportional to 9,503.75, 14,253.98 and 2,576.63 is: 3,864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,503.75 : 14,253.98 = 2,576.63 : x
  2. Step 2: Convert to fraction form
    9,503.75/14,253.98 = 2,576.63/x
  3. Step 3: Cross multiply
    9,503.75x = 14,253.98 × 2,576.63
  4. Step 4: Simplify right side
    9,503.75x = 36,727,148.33
  5. Step 5: Solve for x
    x = 36,727,148.33/9,503.75
  6. Step 6: Final answer
    x = 3,864.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.