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Finding the Fourth Proportional to 9,677.88, 14,519.25 and 4,749.84

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Solution

The fourth proportional to 9,677.88, 14,519.25 and 4,749.84 is: 7,125.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.88 : 14,519.25 = 4,749.84 : x
  2. Step 2: Convert to fraction form
    9,677.88/14,519.25 = 4,749.84/x
  3. Step 3: Cross multiply
    9,677.88x = 14,519.25 × 4,749.84
  4. Step 4: Simplify right side
    9,677.88x = 68,964,114.42
  5. Step 5: Solve for x
    x = 68,964,114.42/9,677.88
  6. Step 6: Final answer
    x = 7,125.95

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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.