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Finding the Fourth Proportional to 9,914.35, 13,684.19 and 6,732.95

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Solution

The fourth proportional to 9,914.35, 13,684.19 and 6,732.95 is: 9,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.35 : 13,684.19 = 6,732.95 : x
  2. Step 2: Convert to fraction form
    9,914.35/13,684.19 = 6,732.95/x
  3. Step 3: Cross multiply
    9,914.35x = 13,684.19 × 6,732.95
  4. Step 4: Simplify right side
    9,914.35x = 92,134,967.06
  5. Step 5: Solve for x
    x = 92,134,967.06/9,914.35
  6. Step 6: Final answer
    x = 9,293.10

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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.