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Finding the Fourth Proportional to 9,758.64, 14,640.29 and 3,184.84

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Solution

The fourth proportional to 9,758.64, 14,640.29 and 3,184.84 is: 4,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.64 : 14,640.29 = 3,184.84 : x
  2. Step 2: Convert to fraction form
    9,758.64/14,640.29 = 3,184.84/x
  3. Step 3: Cross multiply
    9,758.64x = 14,640.29 × 3,184.84
  4. Step 4: Simplify right side
    9,758.64x = 46,626,981.20
  5. Step 5: Solve for x
    x = 46,626,981.20/9,758.64
  6. Step 6: Final answer
    x = 4,778.02

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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.