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Finding the Fourth Proportional to 12,394.35, 17,084.52 and 9,737.19

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Solution

The fourth proportional to 12,394.35, 17,084.52 and 9,737.19 is: 13,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,394.35 : 17,084.52 = 9,737.19 : x
  2. Step 2: Convert to fraction form
    12,394.35/17,084.52 = 9,737.19/x
  3. Step 3: Cross multiply
    12,394.35x = 17,084.52 × 9,737.19
  4. Step 4: Simplify right side
    12,394.35x = 166,355,217.30
  5. Step 5: Solve for x
    x = 166,355,217.30/12,394.35
  6. Step 6: Final answer
    x = 13,421.86

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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.