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Finding the Fourth Proportional to 9,453.80, 14,189.46 and 4,777.10

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Solution

The fourth proportional to 9,453.80, 14,189.46 and 4,777.10 is: 7,170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.80 : 14,189.46 = 4,777.10 : x
  2. Step 2: Convert to fraction form
    9,453.80/14,189.46 = 4,777.10/x
  3. Step 3: Cross multiply
    9,453.80x = 14,189.46 × 4,777.10
  4. Step 4: Simplify right side
    9,453.80x = 67,784,504.84
  5. Step 5: Solve for x
    x = 67,784,504.84/9,453.80
  6. Step 6: Final answer
    x = 7,170.08

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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.