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Finding the Fourth Proportional to 9,066, 13,599.12 and 2,910

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Solution

The fourth proportional to 9,066, 13,599.12 and 2,910 is: 4,365.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,066 : 13,599.12 = 2,910 : x
  2. Step 2: Convert to fraction form
    9,066/13,599.12 = 2,910/x
  3. Step 3: Cross multiply
    9,066x = 13,599.12 × 2,910
  4. Step 4: Simplify right side
    9,066x = 39,573,439.20
  5. Step 5: Solve for x
    x = 39,573,439.20/9,066
  6. Step 6: Final answer
    x = 4,365.04

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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.