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Finding the Fourth Proportional to 9,625.69, 13,282.04 and 5,376.23

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Solution

The fourth proportional to 9,625.69, 13,282.04 and 5,376.23 is: 7,418.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.69 : 13,282.04 = 5,376.23 : x
  2. Step 2: Convert to fraction form
    9,625.69/13,282.04 = 5,376.23/x
  3. Step 3: Cross multiply
    9,625.69x = 13,282.04 × 5,376.23
  4. Step 4: Simplify right side
    9,625.69x = 71,407,298.75
  5. Step 5: Solve for x
    x = 71,407,298.75/9,625.69
  6. Step 6: Final answer
    x = 7,418.41

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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.