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Finding the Fourth Proportional to 9,476, 13,076.60 and 5,496.84

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Solution

The fourth proportional to 9,476, 13,076.60 and 5,496.84 is: 7,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476 : 13,076.60 = 5,496.84 : x
  2. Step 2: Convert to fraction form
    9,476/13,076.60 = 5,496.84/x
  3. Step 3: Cross multiply
    9,476x = 13,076.60 × 5,496.84
  4. Step 4: Simplify right side
    9,476x = 71,879,977.94
  5. Step 5: Solve for x
    x = 71,879,977.94/9,476
  6. Step 6: Final answer
    x = 7,585.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.