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Finding the Fourth Proportional to 9,504.68, 14,257.74 and 2,579

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Solution

The fourth proportional to 9,504.68, 14,257.74 and 2,579 is: 3,868.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.68 : 14,257.74 = 2,579 : x
  2. Step 2: Convert to fraction form
    9,504.68/14,257.74 = 2,579/x
  3. Step 3: Cross multiply
    9,504.68x = 14,257.74 × 2,579
  4. Step 4: Simplify right side
    9,504.68x = 36,770,711.46
  5. Step 5: Solve for x
    x = 36,770,711.46/9,504.68
  6. Step 6: Final answer
    x = 3,868.70

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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.