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Finding the Fourth Proportional to 9,486.21, 14,230.85 and 3,563.54

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Solution

The fourth proportional to 9,486.21, 14,230.85 and 3,563.54 is: 5,345.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.21 : 14,230.85 = 3,563.54 : x
  2. Step 2: Convert to fraction form
    9,486.21/14,230.85 = 3,563.54/x
  3. Step 3: Cross multiply
    9,486.21x = 14,230.85 × 3,563.54
  4. Step 4: Simplify right side
    9,486.21x = 50,712,203.21
  5. Step 5: Solve for x
    x = 50,712,203.21/9,486.21
  6. Step 6: Final answer
    x = 5,345.89

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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.