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Finding the Fourth Proportional to 9,270.64, 13,906.02 and 3,114.64

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Solution

The fourth proportional to 9,270.64, 13,906.02 and 3,114.64 is: 4,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.64 : 13,906.02 = 3,114.64 : x
  2. Step 2: Convert to fraction form
    9,270.64/13,906.02 = 3,114.64/x
  3. Step 3: Cross multiply
    9,270.64x = 13,906.02 × 3,114.64
  4. Step 4: Simplify right side
    9,270.64x = 43,312,246.13
  5. Step 5: Solve for x
    x = 43,312,246.13/9,270.64
  6. Step 6: Final answer
    x = 4,671.98

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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.