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Finding the Fourth Proportional to 9,751.99, 13,457.85 and 5,922.52

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Solution

The fourth proportional to 9,751.99, 13,457.85 and 5,922.52 is: 8,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,751.99 : 13,457.85 = 5,922.52 : x
  2. Step 2: Convert to fraction form
    9,751.99/13,457.85 = 5,922.52/x
  3. Step 3: Cross multiply
    9,751.99x = 13,457.85 × 5,922.52
  4. Step 4: Simplify right side
    9,751.99x = 79,704,385.78
  5. Step 5: Solve for x
    x = 79,704,385.78/9,751.99
  6. Step 6: Final answer
    x = 8,173.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.