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Finding the Fourth Proportional to 9,453.56, 14,189.09 and 4,776.86

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Solution

The fourth proportional to 9,453.56, 14,189.09 and 4,776.86 is: 7,169.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.56 : 14,189.09 = 4,776.86 : x
  2. Step 2: Convert to fraction form
    9,453.56/14,189.09 = 4,776.86/x
  3. Step 3: Cross multiply
    9,453.56x = 14,189.09 × 4,776.86
  4. Step 4: Simplify right side
    9,453.56x = 67,779,201.63
  5. Step 5: Solve for x
    x = 67,779,201.63/9,453.56
  6. Step 6: Final answer
    x = 7,169.71

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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.