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Finding the Fourth Proportional to 9,649.25, 13,315.03 and 5,400.08

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Solution

The fourth proportional to 9,649.25, 13,315.03 and 5,400.08 is: 7,451.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.25 : 13,315.03 = 5,400.08 : x
  2. Step 2: Convert to fraction form
    9,649.25/13,315.03 = 5,400.08/x
  3. Step 3: Cross multiply
    9,649.25x = 13,315.03 × 5,400.08
  4. Step 4: Simplify right side
    9,649.25x = 71,902,246.99
  5. Step 5: Solve for x
    x = 71,902,246.99/9,649.25
  6. Step 6: Final answer
    x = 7,451.59

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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.