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Finding the Fourth Proportional to 9,396.20, 12,966.78 and 5,089.34

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Solution

The fourth proportional to 9,396.20, 12,966.78 and 5,089.34 is: 7,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.20 : 12,966.78 = 5,089.34 : x
  2. Step 2: Convert to fraction form
    9,396.20/12,966.78 = 5,089.34/x
  3. Step 3: Cross multiply
    9,396.20x = 12,966.78 × 5,089.34
  4. Step 4: Simplify right side
    9,396.20x = 65,992,352.13
  5. Step 5: Solve for x
    x = 65,992,352.13/9,396.20
  6. Step 6: Final answer
    x = 7,023.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.