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Finding the Fourth Proportional to 9,575.94, 14,362.75 and 2,556.48

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Solution

The fourth proportional to 9,575.94, 14,362.75 and 2,556.48 is: 3,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.94 : 14,362.75 = 2,556.48 : x
  2. Step 2: Convert to fraction form
    9,575.94/14,362.75 = 2,556.48/x
  3. Step 3: Cross multiply
    9,575.94x = 14,362.75 × 2,556.48
  4. Step 4: Simplify right side
    9,575.94x = 36,718,083.12
  5. Step 5: Solve for x
    x = 36,718,083.12/9,575.94
  6. Step 6: Final answer
    x = 3,834.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.