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Finding the Fourth Proportional to 9,501.68, 14,251.80 and 2,576

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Solution

The fourth proportional to 9,501.68, 14,251.80 and 2,576 is: 3,863.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,501.68 : 14,251.80 = 2,576 : x
  2. Step 2: Convert to fraction form
    9,501.68/14,251.80 = 2,576/x
  3. Step 3: Cross multiply
    9,501.68x = 14,251.80 × 2,576
  4. Step 4: Simplify right side
    9,501.68x = 36,712,636.80
  5. Step 5: Solve for x
    x = 36,712,636.80/9,501.68
  6. Step 6: Final answer
    x = 3,863.80

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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.