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Finding the Fourth Proportional to 9,811.25, 14,716.88 and 2,515.25

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Solution

The fourth proportional to 9,811.25, 14,716.88 and 2,515.25 is: 3,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.25 : 14,716.88 = 2,515.25 : x
  2. Step 2: Convert to fraction form
    9,811.25/14,716.88 = 2,515.25/x
  3. Step 3: Cross multiply
    9,811.25x = 14,716.88 × 2,515.25
  4. Step 4: Simplify right side
    9,811.25x = 37,016,632.42
  5. Step 5: Solve for x
    x = 37,016,632.42/9,811.25
  6. Step 6: Final answer
    x = 3,772.88

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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.