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Finding the Fourth Proportional to 9,784.75, 14,677.14 and 2,859.25

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Solution

The fourth proportional to 9,784.75, 14,677.14 and 2,859.25 is: 4,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,784.75 : 14,677.14 = 2,859.25 : x
  2. Step 2: Convert to fraction form
    9,784.75/14,677.14 = 2,859.25/x
  3. Step 3: Cross multiply
    9,784.75x = 14,677.14 × 2,859.25
  4. Step 4: Simplify right side
    9,784.75x = 41,965,612.55
  5. Step 5: Solve for x
    x = 41,965,612.55/9,784.75
  6. Step 6: Final answer
    x = 4,288.88

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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.