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Finding the Fourth Proportional to 9,890.76, 13,649.07 and 5,414.43

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Solution

The fourth proportional to 9,890.76, 13,649.07 and 5,414.43 is: 7,471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.76 : 13,649.07 = 5,414.43 : x
  2. Step 2: Convert to fraction form
    9,890.76/13,649.07 = 5,414.43/x
  3. Step 3: Cross multiply
    9,890.76x = 13,649.07 × 5,414.43
  4. Step 4: Simplify right side
    9,890.76x = 73,901,934.08
  5. Step 5: Solve for x
    x = 73,901,934.08/9,890.76
  6. Step 6: Final answer
    x = 7,471.82

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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.