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Finding the Fourth Proportional to 9,116.47, 13,669.23 and 3,563.20

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Solution

The fourth proportional to 9,116.47, 13,669.23 and 3,563.20 is: 5,342.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.47 : 13,669.23 = 3,563.20 : x
  2. Step 2: Convert to fraction form
    9,116.47/13,669.23 = 3,563.20/x
  3. Step 3: Cross multiply
    9,116.47x = 13,669.23 × 3,563.20
  4. Step 4: Simplify right side
    9,116.47x = 48,706,131.99
  5. Step 5: Solve for x
    x = 48,706,131.99/9,116.47
  6. Step 6: Final answer
    x = 5,342.65

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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.