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Finding the Fourth Proportional to 9,686.55, 13,364.14 and 6,151.80

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Solution

The fourth proportional to 9,686.55, 13,364.14 and 6,151.80 is: 8,487.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.55 : 13,364.14 = 6,151.80 : x
  2. Step 2: Convert to fraction form
    9,686.55/13,364.14 = 6,151.80/x
  3. Step 3: Cross multiply
    9,686.55x = 13,364.14 × 6,151.80
  4. Step 4: Simplify right side
    9,686.55x = 82,213,516.45
  5. Step 5: Solve for x
    x = 82,213,516.45/9,686.55
  6. Step 6: Final answer
    x = 8,487.39

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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.