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Finding the Fourth Proportional to 9,166.20, 13,743.30 and 3,616.20

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Solution

The fourth proportional to 9,166.20, 13,743.30 and 3,616.20 is: 5,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.20 : 13,743.30 = 3,616.20 : x
  2. Step 2: Convert to fraction form
    9,166.20/13,743.30 = 3,616.20/x
  3. Step 3: Cross multiply
    9,166.20x = 13,743.30 × 3,616.20
  4. Step 4: Simplify right side
    9,166.20x = 49,698,521.46
  5. Step 5: Solve for x
    x = 49,698,521.46/9,166.20
  6. Step 6: Final answer
    x = 5,421.93

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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.