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Finding the Fourth Proportional to 9,182.96, 13,775.30 and 3,259.28

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Solution

The fourth proportional to 9,182.96, 13,775.30 and 3,259.28 is: 4,889.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.96 : 13,775.30 = 3,259.28 : x
  2. Step 2: Convert to fraction form
    9,182.96/13,775.30 = 3,259.28/x
  3. Step 3: Cross multiply
    9,182.96x = 13,775.30 × 3,259.28
  4. Step 4: Simplify right side
    9,182.96x = 44,897,559.78
  5. Step 5: Solve for x
    x = 44,897,559.78/9,182.96
  6. Step 6: Final answer
    x = 4,889.23

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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.