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Finding the Fourth Proportional to 9,649.81, 13,317.26 and 5,400.61

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Solution

The fourth proportional to 9,649.81, 13,317.26 and 5,400.61 is: 7,453.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.81 : 13,317.26 = 5,400.61 : x
  2. Step 2: Convert to fraction form
    9,649.81/13,317.26 = 5,400.61/x
  3. Step 3: Cross multiply
    9,649.81x = 13,317.26 × 5,400.61
  4. Step 4: Simplify right side
    9,649.81x = 71,921,327.53
  5. Step 5: Solve for x
    x = 71,921,327.53/9,649.81
  6. Step 6: Final answer
    x = 7,453.13

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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.