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Finding the Fourth Proportional to 9,212.09, 12,712.03 and 5,435.06

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Solution

The fourth proportional to 9,212.09, 12,712.03 and 5,435.06 is: 7,499.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.09 : 12,712.03 = 5,435.06 : x
  2. Step 2: Convert to fraction form
    9,212.09/12,712.03 = 5,435.06/x
  3. Step 3: Cross multiply
    9,212.09x = 12,712.03 × 5,435.06
  4. Step 4: Simplify right side
    9,212.09x = 69,090,568.62
  5. Step 5: Solve for x
    x = 69,090,568.62/9,212.09
  6. Step 6: Final answer
    x = 7,499.99

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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.