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Finding the Fourth Proportional to 9,686.89, 13,364.46 and 6,331.63

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Solution

The fourth proportional to 9,686.89, 13,364.46 and 6,331.63 is: 8,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.89 : 13,364.46 = 6,331.63 : x
  2. Step 2: Convert to fraction form
    9,686.89/13,364.46 = 6,331.63/x
  3. Step 3: Cross multiply
    9,686.89x = 13,364.46 × 6,331.63
  4. Step 4: Simplify right side
    9,686.89x = 84,618,815.87
  5. Step 5: Solve for x
    x = 84,618,815.87/9,686.89
  6. Step 6: Final answer
    x = 8,735.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.