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Finding the Fourth Proportional to 9,396.34, 12,966.92 and 5,204.59

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Solution

The fourth proportional to 9,396.34, 12,966.92 and 5,204.59 is: 7,182.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.34 : 12,966.92 = 5,204.59 : x
  2. Step 2: Convert to fraction form
    9,396.34/12,966.92 = 5,204.59/x
  3. Step 3: Cross multiply
    9,396.34x = 12,966.92 × 5,204.59
  4. Step 4: Simplify right side
    9,396.34x = 67,487,443.72
  5. Step 5: Solve for x
    x = 67,487,443.72/9,396.34
  6. Step 6: Final answer
    x = 7,182.31

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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.