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Finding the Fourth Proportional to 9,397.54, 12,952.37 and 8,195.03

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Solution

The fourth proportional to 9,397.54, 12,952.37 and 8,195.03 is: 11,294.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,397.54 : 12,952.37 = 8,195.03 : x
  2. Step 2: Convert to fraction form
    9,397.54/12,952.37 = 8,195.03/x
  3. Step 3: Cross multiply
    9,397.54x = 12,952.37 × 8,195.03
  4. Step 4: Simplify right side
    9,397.54x = 106,145,060.72
  5. Step 5: Solve for x
    x = 106,145,060.72/9,397.54
  6. Step 6: Final answer
    x = 11,294.98

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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.