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Finding the Fourth Proportional to 7,135.39, 9,846.83 and 4,340.89

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Solution

The fourth proportional to 7,135.39, 9,846.83 and 4,340.89 is: 5,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,135.39 : 9,846.83 = 4,340.89 : x
  2. Step 2: Convert to fraction form
    7,135.39/9,846.83 = 4,340.89/x
  3. Step 3: Cross multiply
    7,135.39x = 9,846.83 × 4,340.89
  4. Step 4: Simplify right side
    7,135.39x = 42,743,984.17
  5. Step 5: Solve for x
    x = 42,743,984.17/7,135.39
  6. Step 6: Final answer
    x = 5,990.42

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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.