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Finding the Fourth Proportional to 6,100.25, 9,147.13 and 2,810.53

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Solution

The fourth proportional to 6,100.25, 9,147.13 and 2,810.53 is: 4,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.25 : 9,147.13 = 2,810.53 : x
  2. Step 2: Convert to fraction form
    6,100.25/9,147.13 = 2,810.53/x
  3. Step 3: Cross multiply
    6,100.25x = 9,147.13 × 2,810.53
  4. Step 4: Simplify right side
    6,100.25x = 25,708,287.69
  5. Step 5: Solve for x
    x = 25,708,287.69/6,100.25
  6. Step 6: Final answer
    x = 4,214.30

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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.