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Finding the Fourth Proportional to 9,915.96, 13,680.25 and 6,331.05

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Solution

The fourth proportional to 9,915.96, 13,680.25 and 6,331.05 is: 8,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.96 : 13,680.25 = 6,331.05 : x
  2. Step 2: Convert to fraction form
    9,915.96/13,680.25 = 6,331.05/x
  3. Step 3: Cross multiply
    9,915.96x = 13,680.25 × 6,331.05
  4. Step 4: Simplify right side
    9,915.96x = 86,610,346.76
  5. Step 5: Solve for x
    x = 86,610,346.76/9,915.96
  6. Step 6: Final answer
    x = 8,734.44

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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.