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Finding the Fourth Proportional to 9,775.17, 14,668.02 and 6,489.81

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Solution

The fourth proportional to 9,775.17, 14,668.02 and 6,489.81 is: 9,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.17 : 14,668.02 = 6,489.81 : x
  2. Step 2: Convert to fraction form
    9,775.17/14,668.02 = 6,489.81/x
  3. Step 3: Cross multiply
    9,775.17x = 14,668.02 × 6,489.81
  4. Step 4: Simplify right side
    9,775.17x = 95,192,662.88
  5. Step 5: Solve for x
    x = 95,192,662.88/9,775.17
  6. Step 6: Final answer
    x = 9,738.21

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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.