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Finding the Fourth Proportional to 9,233.52, 13,850.20 and 2,308

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Solution

The fourth proportional to 9,233.52, 13,850.20 and 2,308 is: 3,461.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.52 : 13,850.20 = 2,308 : x
  2. Step 2: Convert to fraction form
    9,233.52/13,850.20 = 2,308/x
  3. Step 3: Cross multiply
    9,233.52x = 13,850.20 × 2,308
  4. Step 4: Simplify right side
    9,233.52x = 31,966,261.60
  5. Step 5: Solve for x
    x = 31,966,261.60/9,233.52
  6. Step 6: Final answer
    x = 3,461.98

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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.