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Finding the Fourth Proportional to 9,106.16, 13,662.68 and 3,563.46

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Solution

The fourth proportional to 9,106.16, 13,662.68 and 3,563.46 is: 5,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.16 : 13,662.68 = 3,563.46 : x
  2. Step 2: Convert to fraction form
    9,106.16/13,662.68 = 3,563.46/x
  3. Step 3: Cross multiply
    9,106.16x = 13,662.68 × 3,563.46
  4. Step 4: Simplify right side
    9,106.16x = 48,686,395.86
  5. Step 5: Solve for x
    x = 48,686,395.86/9,106.16
  6. Step 6: Final answer
    x = 5,346.54

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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.