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Finding the Fourth Proportional to 9,686.39, 13,369.38 and 6,148.94

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Solution

The fourth proportional to 9,686.39, 13,369.38 and 6,148.94 is: 8,486.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.39 : 13,369.38 = 6,148.94 : x
  2. Step 2: Convert to fraction form
    9,686.39/13,369.38 = 6,148.94/x
  3. Step 3: Cross multiply
    9,686.39x = 13,369.38 × 6,148.94
  4. Step 4: Simplify right side
    9,686.39x = 82,207,515.46
  5. Step 5: Solve for x
    x = 82,207,515.46/9,686.39
  6. Step 6: Final answer
    x = 8,486.91

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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.