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Finding the Fourth Proportional to 6,543.26, 9,810.25 and 3,078.62

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Solution

The fourth proportional to 6,543.26, 9,810.25 and 3,078.62 is: 4,615.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.26 : 9,810.25 = 3,078.62 : x
  2. Step 2: Convert to fraction form
    6,543.26/9,810.25 = 3,078.62/x
  3. Step 3: Cross multiply
    6,543.26x = 9,810.25 × 3,078.62
  4. Step 4: Simplify right side
    6,543.26x = 30,202,031.86
  5. Step 5: Solve for x
    x = 30,202,031.86/6,543.26
  6. Step 6: Final answer
    x = 4,615.75

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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.