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Finding the Fourth Proportional to 9,915.76, 14,861.46 and 5,964.58

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Solution

The fourth proportional to 9,915.76, 14,861.46 and 5,964.58 is: 8,939.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.76 : 14,861.46 = 5,964.58 : x
  2. Step 2: Convert to fraction form
    9,915.76/14,861.46 = 5,964.58/x
  3. Step 3: Cross multiply
    9,915.76x = 14,861.46 × 5,964.58
  4. Step 4: Simplify right side
    9,915.76x = 88,642,367.09
  5. Step 5: Solve for x
    x = 88,642,367.09/9,915.76
  6. Step 6: Final answer
    x = 8,939.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.