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Finding the Fourth Proportional to 9,259.90, 12,779.67 and 5,905.78

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Solution

The fourth proportional to 9,259.90, 12,779.67 and 5,905.78 is: 8,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.90 : 12,779.67 = 5,905.78 : x
  2. Step 2: Convert to fraction form
    9,259.90/12,779.67 = 5,905.78/x
  3. Step 3: Cross multiply
    9,259.90x = 12,779.67 × 5,905.78
  4. Step 4: Simplify right side
    9,259.90x = 75,473,919.49
  5. Step 5: Solve for x
    x = 75,473,919.49/9,259.90
  6. Step 6: Final answer
    x = 8,150.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.