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Finding the Fourth Proportional to 9,166.10, 13,739.55 and 3,617.30

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Solution

The fourth proportional to 9,166.10, 13,739.55 and 3,617.30 is: 5,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.10 : 13,739.55 = 3,617.30 : x
  2. Step 2: Convert to fraction form
    9,166.10/13,739.55 = 3,617.30/x
  3. Step 3: Cross multiply
    9,166.10x = 13,739.55 × 3,617.30
  4. Step 4: Simplify right side
    9,166.10x = 49,700,074.22
  5. Step 5: Solve for x
    x = 49,700,074.22/9,166.10
  6. Step 6: Final answer
    x = 5,422.16

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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.