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Finding the Fourth Proportional to 9,108.19, 12,542.19 and 8,446.63

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Solution

The fourth proportional to 9,108.19, 12,542.19 and 8,446.63 is: 11,631.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.19 : 12,542.19 = 8,446.63 : x
  2. Step 2: Convert to fraction form
    9,108.19/12,542.19 = 8,446.63/x
  3. Step 3: Cross multiply
    9,108.19x = 12,542.19 × 8,446.63
  4. Step 4: Simplify right side
    9,108.19x = 105,939,238.32
  5. Step 5: Solve for x
    x = 105,939,238.32/9,108.19
  6. Step 6: Final answer
    x = 11,631.21

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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.