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Finding the Fourth Proportional to 9,708.94, 13,398 and 5,930.74

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Solution

The fourth proportional to 9,708.94, 13,398 and 5,930.74 is: 8,184.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.94 : 13,398 = 5,930.74 : x
  2. Step 2: Convert to fraction form
    9,708.94/13,398 = 5,930.74/x
  3. Step 3: Cross multiply
    9,708.94x = 13,398 × 5,930.74
  4. Step 4: Simplify right side
    9,708.94x = 79,460,054.52
  5. Step 5: Solve for x
    x = 79,460,054.52/9,708.94
  6. Step 6: Final answer
    x = 8,184.22

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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.