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Finding the Fourth Proportional to 9,650.96, 14,473.37 and 3,075.61

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Solution

The fourth proportional to 9,650.96, 14,473.37 and 3,075.61 is: 4,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.96 : 14,473.37 = 3,075.61 : x
  2. Step 2: Convert to fraction form
    9,650.96/14,473.37 = 3,075.61/x
  3. Step 3: Cross multiply
    9,650.96x = 14,473.37 × 3,075.61
  4. Step 4: Simplify right side
    9,650.96x = 44,514,422.85
  5. Step 5: Solve for x
    x = 44,514,422.85/9,650.96
  6. Step 6: Final answer
    x = 4,612.43

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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.