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Finding the Fourth Proportional to 9,476, 13,076.72 and 5,227.47

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Solution

The fourth proportional to 9,476, 13,076.72 and 5,227.47 is: 7,213.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476 : 13,076.72 = 5,227.47 : x
  2. Step 2: Convert to fraction form
    9,476/13,076.72 = 5,227.47/x
  3. Step 3: Cross multiply
    9,476x = 13,076.72 × 5,227.47
  4. Step 4: Simplify right side
    9,476x = 68,358,161.50
  5. Step 5: Solve for x
    x = 68,358,161.50/9,476
  6. Step 6: Final answer
    x = 7,213.82

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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.