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Finding the Fourth Proportional to 9,914.46, 13,684.47 and 6,733.08

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Solution

The fourth proportional to 9,914.46, 13,684.47 and 6,733.08 is: 9,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.46 : 13,684.47 = 6,733.08 : x
  2. Step 2: Convert to fraction form
    9,914.46/13,684.47 = 6,733.08/x
  3. Step 3: Cross multiply
    9,914.46x = 13,684.47 × 6,733.08
  4. Step 4: Simplify right side
    9,914.46x = 92,138,631.27
  5. Step 5: Solve for x
    x = 92,138,631.27/9,914.46
  6. Step 6: Final answer
    x = 9,293.36

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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.