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Finding the Fourth Proportional to 9,259.50, 12,779.55 and 5,535.66

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Solution

The fourth proportional to 9,259.50, 12,779.55 and 5,535.66 is: 7,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,259.50 : 12,779.55 = 5,535.66 : x
  2. Step 2: Convert to fraction form
    9,259.50/12,779.55 = 5,535.66/x
  3. Step 3: Cross multiply
    9,259.50x = 12,779.55 × 5,535.66
  4. Step 4: Simplify right side
    9,259.50x = 70,743,243.75
  5. Step 5: Solve for x
    x = 70,743,243.75/9,259.50
  6. Step 6: Final answer
    x = 7,640.07

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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.