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Finding the Fourth Proportional to 9,354.23, 12,911.05 and 5,377.65

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Solution

The fourth proportional to 9,354.23, 12,911.05 and 5,377.65 is: 7,422.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.23 : 12,911.05 = 5,377.65 : x
  2. Step 2: Convert to fraction form
    9,354.23/12,911.05 = 5,377.65/x
  3. Step 3: Cross multiply
    9,354.23x = 12,911.05 × 5,377.65
  4. Step 4: Simplify right side
    9,354.23x = 69,431,108.03
  5. Step 5: Solve for x
    x = 69,431,108.03/9,354.23
  6. Step 6: Final answer
    x = 7,422.43

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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.