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Finding the Fourth Proportional to 9,105.40, 13,641.90 and 8,563.24

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Solution

The fourth proportional to 9,105.40, 13,641.90 and 8,563.24 is: 12,829.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.40 : 13,641.90 = 8,563.24 : x
  2. Step 2: Convert to fraction form
    9,105.40/13,641.90 = 8,563.24/x
  3. Step 3: Cross multiply
    9,105.40x = 13,641.90 × 8,563.24
  4. Step 4: Simplify right side
    9,105.40x = 116,818,863.76
  5. Step 5: Solve for x
    x = 116,818,863.76/9,105.40
  6. Step 6: Final answer
    x = 12,829.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.