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Finding the Fourth Proportional to 9,649.31, 13,314.32 and 5,671.22

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Solution

The fourth proportional to 9,649.31, 13,314.32 and 5,671.22 is: 7,825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.31 : 13,314.32 = 5,671.22 : x
  2. Step 2: Convert to fraction form
    9,649.31/13,314.32 = 5,671.22/x
  3. Step 3: Cross multiply
    9,649.31x = 13,314.32 × 5,671.22
  4. Step 4: Simplify right side
    9,649.31x = 75,508,376.23
  5. Step 5: Solve for x
    x = 75,508,376.23/9,649.31
  6. Step 6: Final answer
    x = 7,825.26

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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.