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Finding the Fourth Proportional to 9,915.84, 13,682.88 and 5,725.44

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Solution

The fourth proportional to 9,915.84, 13,682.88 and 5,725.44 is: 7,900.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.84 : 13,682.88 = 5,725.44 : x
  2. Step 2: Convert to fraction form
    9,915.84/13,682.88 = 5,725.44/x
  3. Step 3: Cross multiply
    9,915.84x = 13,682.88 × 5,725.44
  4. Step 4: Simplify right side
    9,915.84x = 78,340,508.47
  5. Step 5: Solve for x
    x = 78,340,508.47/9,915.84
  6. Step 6: Final answer
    x = 7,900.54

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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.