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Finding the Fourth Proportional to 9,711.54, 13,397.94 and 6,173.46

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Solution

The fourth proportional to 9,711.54, 13,397.94 and 6,173.46 is: 8,516.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,711.54 : 13,397.94 = 6,173.46 : x
  2. Step 2: Convert to fraction form
    9,711.54/13,397.94 = 6,173.46/x
  3. Step 3: Cross multiply
    9,711.54x = 13,397.94 × 6,173.46
  4. Step 4: Simplify right side
    9,711.54x = 82,711,646.67
  5. Step 5: Solve for x
    x = 82,711,646.67/9,711.54
  6. Step 6: Final answer
    x = 8,516.84

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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.