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Finding the Fourth Proportional to 9,915.73, 13,683.67 and 6,138.15

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Solution

The fourth proportional to 9,915.73, 13,683.67 and 6,138.15 is: 8,470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.73 : 13,683.67 = 6,138.15 : x
  2. Step 2: Convert to fraction form
    9,915.73/13,683.67 = 6,138.15/x
  3. Step 3: Cross multiply
    9,915.73x = 13,683.67 × 6,138.15
  4. Step 4: Simplify right side
    9,915.73x = 83,992,352.35
  5. Step 5: Solve for x
    x = 83,992,352.35/9,915.73
  6. Step 6: Final answer
    x = 8,470.62

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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.