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Finding the Fourth Proportional to 9,775.13, 14,682.38 and 5,834.09

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Solution

The fourth proportional to 9,775.13, 14,682.38 and 5,834.09 is: 8,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,775.13 : 14,682.38 = 5,834.09 : x
  2. Step 2: Convert to fraction form
    9,775.13/14,682.38 = 5,834.09/x
  3. Step 3: Cross multiply
    9,775.13x = 14,682.38 × 5,834.09
  4. Step 4: Simplify right side
    9,775.13x = 85,658,223.75
  5. Step 5: Solve for x
    x = 85,658,223.75/9,775.13
  6. Step 6: Final answer
    x = 8,762.88

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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.