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Finding the Fourth Proportional to 9,725.94, 14,575.14 and 4,799.12

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Solution

The fourth proportional to 9,725.94, 14,575.14 and 4,799.12 is: 7,191.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.94 : 14,575.14 = 4,799.12 : x
  2. Step 2: Convert to fraction form
    9,725.94/14,575.14 = 4,799.12/x
  3. Step 3: Cross multiply
    9,725.94x = 14,575.14 × 4,799.12
  4. Step 4: Simplify right side
    9,725.94x = 69,947,773.00
  5. Step 5: Solve for x
    x = 69,947,773.00/9,725.94
  6. Step 6: Final answer
    x = 7,191.88

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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.