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Finding the Fourth Proportional to 9,763.96, 14,656.98 and 3,924.64

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Solution

The fourth proportional to 9,763.96, 14,656.98 and 3,924.64 is: 5,891.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.96 : 14,656.98 = 3,924.64 : x
  2. Step 2: Convert to fraction form
    9,763.96/14,656.98 = 3,924.64/x
  3. Step 3: Cross multiply
    9,763.96x = 14,656.98 × 3,924.64
  4. Step 4: Simplify right side
    9,763.96x = 57,523,369.99
  5. Step 5: Solve for x
    x = 57,523,369.99/9,763.96
  6. Step 6: Final answer
    x = 5,891.40

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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.