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Finding the Fourth Proportional to 9,649.45, 13,318.86 and 5,671.84

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Solution

The fourth proportional to 9,649.45, 13,318.86 and 5,671.84 is: 7,828.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.45 : 13,318.86 = 5,671.84 : x
  2. Step 2: Convert to fraction form
    9,649.45/13,318.86 = 5,671.84/x
  3. Step 3: Cross multiply
    9,649.45x = 13,318.86 × 5,671.84
  4. Step 4: Simplify right side
    9,649.45x = 75,542,442.90
  5. Step 5: Solve for x
    x = 75,542,442.90/9,649.45
  6. Step 6: Final answer
    x = 7,828.68

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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.