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Finding the Fourth Proportional to 9,294.12, 13,943.31 and 5,133.15

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Solution

The fourth proportional to 9,294.12, 13,943.31 and 5,133.15 is: 7,700.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,294.12 : 13,943.31 = 5,133.15 : x
  2. Step 2: Convert to fraction form
    9,294.12/13,943.31 = 5,133.15/x
  3. Step 3: Cross multiply
    9,294.12x = 13,943.31 × 5,133.15
  4. Step 4: Simplify right side
    9,294.12x = 71,573,101.73
  5. Step 5: Solve for x
    x = 71,573,101.73/9,294.12
  6. Step 6: Final answer
    x = 7,700.90

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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.