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Finding the Fourth Proportional to 9,471.78, 14,204.10 and 3,145.48

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Solution

The fourth proportional to 9,471.78, 14,204.10 and 3,145.48 is: 4,717.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.78 : 14,204.10 = 3,145.48 : x
  2. Step 2: Convert to fraction form
    9,471.78/14,204.10 = 3,145.48/x
  3. Step 3: Cross multiply
    9,471.78x = 14,204.10 × 3,145.48
  4. Step 4: Simplify right side
    9,471.78x = 44,678,712.47
  5. Step 5: Solve for x
    x = 44,678,712.47/9,471.78
  6. Step 6: Final answer
    x = 4,717.03

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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.