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Finding the Fourth Proportional to 9,414.82, 14,113.59 and 3,254.50

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Solution

The fourth proportional to 9,414.82, 14,113.59 and 3,254.50 is: 4,878.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.82 : 14,113.59 = 3,254.50 : x
  2. Step 2: Convert to fraction form
    9,414.82/14,113.59 = 3,254.50/x
  3. Step 3: Cross multiply
    9,414.82x = 14,113.59 × 3,254.50
  4. Step 4: Simplify right side
    9,414.82x = 45,932,678.66
  5. Step 5: Solve for x
    x = 45,932,678.66/9,414.82
  6. Step 6: Final answer
    x = 4,878.76

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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.