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Finding the Fourth Proportional to 9,192.14, 12,685.07 and 5,000.39

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Solution

The fourth proportional to 9,192.14, 12,685.07 and 5,000.39 is: 6,900.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.14 : 12,685.07 = 5,000.39 : x
  2. Step 2: Convert to fraction form
    9,192.14/12,685.07 = 5,000.39/x
  3. Step 3: Cross multiply
    9,192.14x = 12,685.07 × 5,000.39
  4. Step 4: Simplify right side
    9,192.14x = 63,430,208.75
  5. Step 5: Solve for x
    x = 63,430,208.75/9,192.14
  6. Step 6: Final answer
    x = 6,900.49

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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.