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Finding the Fourth Proportional to 9,915.24, 13,682.79 and 6,378.44

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Solution

The fourth proportional to 9,915.24, 13,682.79 and 6,378.44 is: 8,802.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.24 : 13,682.79 = 6,378.44 : x
  2. Step 2: Convert to fraction form
    9,915.24/13,682.79 = 6,378.44/x
  3. Step 3: Cross multiply
    9,915.24x = 13,682.79 × 6,378.44
  4. Step 4: Simplify right side
    9,915.24x = 87,274,889.25
  5. Step 5: Solve for x
    x = 87,274,889.25/9,915.24
  6. Step 6: Final answer
    x = 8,802.10

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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.