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Finding the Fourth Proportional to 9,805.32, 14,718.51 and 3,965.76

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Solution

The fourth proportional to 9,805.32, 14,718.51 and 3,965.76 is: 5,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.32 : 14,718.51 = 3,965.76 : x
  2. Step 2: Convert to fraction form
    9,805.32/14,718.51 = 3,965.76/x
  3. Step 3: Cross multiply
    9,805.32x = 14,718.51 × 3,965.76
  4. Step 4: Simplify right side
    9,805.32x = 58,370,078.22
  5. Step 5: Solve for x
    x = 58,370,078.22/9,805.32
  6. Step 6: Final answer
    x = 5,952.90

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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.