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Finding the Fourth Proportional to 6,119.40, 9,212.40 and 5,575.08

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Solution

The fourth proportional to 6,119.40, 9,212.40 and 5,575.08 is: 8,392.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.40 : 9,212.40 = 5,575.08 : x
  2. Step 2: Convert to fraction form
    6,119.40/9,212.40 = 5,575.08/x
  3. Step 3: Cross multiply
    6,119.40x = 9,212.40 × 5,575.08
  4. Step 4: Simplify right side
    6,119.40x = 51,359,866.99
  5. Step 5: Solve for x
    x = 51,359,866.99/6,119.40
  6. Step 6: Final answer
    x = 8,392.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.