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Finding the Fourth Proportional to 9,207.64, 13,811.13 and 2,968

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Solution

The fourth proportional to 9,207.64, 13,811.13 and 2,968 is: 4,451.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.64 : 13,811.13 = 2,968 : x
  2. Step 2: Convert to fraction form
    9,207.64/13,811.13 = 2,968/x
  3. Step 3: Cross multiply
    9,207.64x = 13,811.13 × 2,968
  4. Step 4: Simplify right side
    9,207.64x = 40,991,433.84
  5. Step 5: Solve for x
    x = 40,991,433.84/9,207.64
  6. Step 6: Final answer
    x = 4,451.89

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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.