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Finding the Fourth Proportional to 9,612.12, 13,262.94 and 5,419.56

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Solution

The fourth proportional to 9,612.12, 13,262.94 and 5,419.56 is: 7,477.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.12 : 13,262.94 = 5,419.56 : x
  2. Step 2: Convert to fraction form
    9,612.12/13,262.94 = 5,419.56/x
  3. Step 3: Cross multiply
    9,612.12x = 13,262.94 × 5,419.56
  4. Step 4: Simplify right side
    9,612.12x = 71,879,299.11
  5. Step 5: Solve for x
    x = 71,879,299.11/9,612.12
  6. Step 6: Final answer
    x = 7,477.99

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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.