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Finding the Fourth Proportional to 9,508.66, 14,268.15 and 3,965.86

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Solution

The fourth proportional to 9,508.66, 14,268.15 and 3,965.86 is: 5,950.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.66 : 14,268.15 = 3,965.86 : x
  2. Step 2: Convert to fraction form
    9,508.66/14,268.15 = 3,965.86/x
  3. Step 3: Cross multiply
    9,508.66x = 14,268.15 × 3,965.86
  4. Step 4: Simplify right side
    9,508.66x = 56,585,485.36
  5. Step 5: Solve for x
    x = 56,585,485.36/9,508.66
  6. Step 6: Final answer
    x = 5,950.94

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Why These Related Problems?

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