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Finding the Fourth Proportional to 7,239.39, 9,990.80 and 4,214.57

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Solution

The fourth proportional to 7,239.39, 9,990.80 and 4,214.57 is: 5,816.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,239.39 : 9,990.80 = 4,214.57 : x
  2. Step 2: Convert to fraction form
    7,239.39/9,990.80 = 4,214.57/x
  3. Step 3: Cross multiply
    7,239.39x = 9,990.80 × 4,214.57
  4. Step 4: Simplify right side
    7,239.39x = 42,106,961.47
  5. Step 5: Solve for x
    x = 42,106,961.47/7,239.39
  6. Step 6: Final answer
    x = 5,816.37

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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.