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Finding the Fourth Proportional to 9,649.71, 14,479.07 and 3,414.45

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Solution

The fourth proportional to 9,649.71, 14,479.07 and 3,414.45 is: 5,123.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.71 : 14,479.07 = 3,414.45 : x
  2. Step 2: Convert to fraction form
    9,649.71/14,479.07 = 3,414.45/x
  3. Step 3: Cross multiply
    9,649.71x = 14,479.07 × 3,414.45
  4. Step 4: Simplify right side
    9,649.71x = 49,438,060.56
  5. Step 5: Solve for x
    x = 49,438,060.56/9,649.71
  6. Step 6: Final answer
    x = 5,123.27

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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.