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Finding the Fourth Proportional to 9,486.11, 14,230.70 and 3,563.46

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Solution

The fourth proportional to 9,486.11, 14,230.70 and 3,563.46 is: 5,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.11 : 14,230.70 = 3,563.46 : x
  2. Step 2: Convert to fraction form
    9,486.11/14,230.70 = 3,563.46/x
  3. Step 3: Cross multiply
    9,486.11x = 14,230.70 × 3,563.46
  4. Step 4: Simplify right side
    9,486.11x = 50,710,530.22
  5. Step 5: Solve for x
    x = 50,710,530.22/9,486.11
  6. Step 6: Final answer
    x = 5,345.77

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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.