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Finding the Fourth Proportional to 9,965.83, 13,752.33 and 6,188.91

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Solution

The fourth proportional to 9,965.83, 13,752.33 and 6,188.91 is: 8,540.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.83 : 13,752.33 = 6,188.91 : x
  2. Step 2: Convert to fraction form
    9,965.83/13,752.33 = 6,188.91/x
  3. Step 3: Cross multiply
    9,965.83x = 13,752.33 × 6,188.91
  4. Step 4: Simplify right side
    9,965.83x = 85,111,935.24
  5. Step 5: Solve for x
    x = 85,111,935.24/9,965.83
  6. Step 6: Final answer
    x = 8,540.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.