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Finding the Fourth Proportional to 9,915.44, 14,868.46 and 5,756.74

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Solution

The fourth proportional to 9,915.44, 14,868.46 and 5,756.74 is: 8,632.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.44 : 14,868.46 = 5,756.74 : x
  2. Step 2: Convert to fraction form
    9,915.44/14,868.46 = 5,756.74/x
  3. Step 3: Cross multiply
    9,915.44x = 14,868.46 × 5,756.74
  4. Step 4: Simplify right side
    9,915.44x = 85,593,858.42
  5. Step 5: Solve for x
    x = 85,593,858.42/9,915.44
  6. Step 6: Final answer
    x = 8,632.38

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