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Finding the Fourth Proportional to 6,205.26, 9,308.30 and 2,742.50

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Solution

The fourth proportional to 6,205.26, 9,308.30 and 2,742.50 is: 4,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.26 : 9,308.30 = 2,742.50 : x
  2. Step 2: Convert to fraction form
    6,205.26/9,308.30 = 2,742.50/x
  3. Step 3: Cross multiply
    6,205.26x = 9,308.30 × 2,742.50
  4. Step 4: Simplify right side
    6,205.26x = 25,528,012.75
  5. Step 5: Solve for x
    x = 25,528,012.75/6,205.26
  6. Step 6: Final answer
    x = 4,113.93

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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.