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Finding the Fourth Proportional to 9,650.51, 13,317.80 and 5,671.69

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Solution

The fourth proportional to 9,650.51, 13,317.80 and 5,671.69 is: 7,826.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.51 : 13,317.80 = 5,671.69 : x
  2. Step 2: Convert to fraction form
    9,650.51/13,317.80 = 5,671.69/x
  3. Step 3: Cross multiply
    9,650.51x = 13,317.80 × 5,671.69
  4. Step 4: Simplify right side
    9,650.51x = 75,534,403.33
  5. Step 5: Solve for x
    x = 75,534,403.33/9,650.51
  6. Step 6: Final answer
    x = 7,826.99

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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.