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Finding the Fourth Proportional to 9,708.38, 13,392.50 and 6,121.39

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Solution

The fourth proportional to 9,708.38, 13,392.50 and 6,121.39 is: 8,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.38 : 13,392.50 = 6,121.39 : x
  2. Step 2: Convert to fraction form
    9,708.38/13,392.50 = 6,121.39/x
  3. Step 3: Cross multiply
    9,708.38x = 13,392.50 × 6,121.39
  4. Step 4: Simplify right side
    9,708.38x = 81,980,715.58
  5. Step 5: Solve for x
    x = 81,980,715.58/9,708.38
  6. Step 6: Final answer
    x = 8,444.32

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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.